Select the option that is related to the fifth term in the same way as the second term is related to the first term and fourth term related to third term.

13 : 130 :: 15 : 180 :: 27 : ?

648

The logic here is: x : x × (x - 3)

13 : 130 ⇒ 13 : 13 × (13 - 3) ⇒ 13 : 13 × 10 ⇒ 13 : 130

same as

15 : 180 ⇒ 15 : 15 × (15 - 3) ⇒ 15 : 15 × 12 ⇒ 15 : 180

Similarly ,

27 : ? ⇒ 27 : 27 × (27 - 3) ⇒ 27 : 27 × 24 ⇒  27 : 648

648 is correct answer .