If the fourth proportional to P, 25 and 8 is 4, then find the value of P.
50
If the fourth proportional to P, 25 and 8 is 4, then the four terms are in proportion: \(P : 25 :: 8 : 4\).
For a proportion, the product of the extremes equals the product of the means: \(P \times 4 = 25 \times 8\).
So \(4P = 200\).
Therefore \(P = \dfrac{200}{4} = 50\).
Hence, the value of P is 50.
Important Questions from Fourth Proportional
If p is the third proportional to 8, 20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).
Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.
The fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
What is the ratio of the fourth proportional of 2, 5, 6 and the fourth proportional of 6, 8, 9?
The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36. What is the value of A?
