Finding the Fourth Proportional to 175.86, 264.71 and 159.09
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Solution
The fourth proportional to 175.86, 264.71 and 159.09 is: 239.46
Step by Step Solution
- Step 1: Write the proportion equation
175.86 : 264.71 = 159.09 : x - Step 2: Convert to fraction form
175.86/264.71 = 159.09/x - Step 3: Cross multiply
175.86x = 264.71 × 159.09 - Step 4: Simplify right side
175.86x = 42,111.92 - Step 5: Solve for x
x = 42,111.92/175.86 - Step 6: Final answer
x = 239.46
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.