Find the fourth proportional of \(5\sqrt{3}\), \(4\sqrt{5}\), and \(10\sqrt{3}\).
\(8\sqrt{5}\)
If a : b :: c : x, then x = (b × c) ÷ a.
Here a = 5√3, b = 4√5, c = 10√3.
x = \(\dfrac{4\sqrt{5} \times 10\sqrt{3}}{5\sqrt{3}} = \dfrac{40\sqrt{15}}{5\sqrt{3}} = 8 \times \sqrt{\dfrac{15}{3}} = 8\sqrt{5}\).
Hence, the fourth proportional is \(8\sqrt{5}\).
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Important Questions from Fourth Proportional
Find the fourth proportional of (x4 - y4), (x + y) and (x − y), provided x ≠ y.
What is the fourth proportional to the numbers 8, 66 and 112?
The fourth proportion to 12, 18, 6 is equal to the third proportion to 4, k. What is the value of k?
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Find the fourth proportion of the following numbers.
\(\frac{1}{3}\) of 18, \(\frac{4}{5}\) of 20, \(\frac{3}{7}\) of 28.
