Force India's Paul di Resta says he missed out on his first podium finish due to the team's two-stop strategy.
The Scot led the race but his tyre strategy proved costly as he was overtaken by Romain Grosjean in third place with just five laps to go.
"That was probably my strongest Grand Prix," said Di Resta.
"The podium was very close, but with our strategy we were always going to be vulnerable, especially to Grosjean who had two new sets of medium tyres."
He added: "I had a good start to the race, a strong opening stint and we showed our true speed today, but ultimately fourth place was the maximum that was possible.
"We will get on the podium one day, hopefully soon, but for now we can be very happy with the points we've scored today."
Grosjean's podium finish was his first since July 2012, and coincided with the Frenchman getting a new chassis for Bahrain.
"We had to pit early because we had debris in the car," he said. "I was well posted by my engineer telling me my pace was good. I was still fighting with Ferrari and McLarens so I knew I was still up there. My car is back to where I like to have it. It's good to have both cars on the podium."
Mercedes' Lewis Hamilton, who finished third in the previous two races, also missed out on a podium finish as he came in just behind Di Resta. His 10 points keep him third in the drivers' World Championship.
"I'm very proud of what we have achieved over the first four races and to be third in the championship is beyond any of our expectations," he said.
"But we've got to keep pushing and find more performance. We're hanging on by the skin of our teeth at the moment and, if we can make that next step, then we can close the gap.
Despite starting on pole, Hamilton's team-mate Nico Rosberg could only finish ninth after an 'uncomfortable' afternoon.
"As nice as it was to start from pole this afternoon, it was just as hard to finish in ninth place," he said. "I didn't feel comfortable in the car today and it wasn't much fun out there really."