How did i play this hand? Too fast?

[thetman]

I went to the local casino tonight and played NL with $2 and $5 blinds. Middle position player opens the betting for $40 and 2 players call to me in the small blind. I have AK suited and just call. $165 in the pot when the flop comes AK2 with 2 spades. I check and the raiser bets $40 and both players call back to me. There's $285 in the pot and I raise to $250 total and all 3 players fold. I think my preflop call was probably the "right" play, but I think maybe I should have made it $150 or $175 instead of $250. Thoughts? Thank you in advance for any constructive criticism.