I remember seeing a video, years ago. The point of the video was to determine what amount of passive inlet space was the most efficient when used in conjunction with an exhaust fan. They took a "room" and filled it with smoke, then experimented with various combinations of sizes of fans and number of equal sized passive inlet ports. The object was to see which combination cleared the smoke out the quickest. The winner was a 5-to-1 ratio. Whatever sized fan was used, five (equal sized) inlet ports were the most efficient. Less than five and it just took a lot longer to clear the smoke, more than five didn't really help that much.
So, to answer the O.P.'s question, you want 250 square inches of passive inlet space.