Question : What is the fourth proportional of $3 \sqrt{5}, 5 \sqrt{8}$, and $3 \sqrt{10}$?
Option 1: $10 \sqrt{5}$
Option 2: $40 \sqrt{2}$
Option 3: $30$
Option 4: $20$
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Correct Answer: $20$
Solution :
We know that, fourth proportional of $a,b,$ and $c=\frac{bc}{a}$
Fourth proportional of $3 \sqrt{5}, 5 \sqrt{8}$ and $3 \sqrt{10}$
= $\frac{5 \sqrt{8} × 3 \sqrt{10}}{3 \sqrt{5}}$
= $\sqrt{5×8×10}$
= $20$
Hence, the correct answer is 20.
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