Finding the Fourth Proportional to 354.26, 531.42 and 161.78
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Solution
The fourth proportional to 354.26, 531.42 and 161.78 is: 242.68
Step by Step Solution
- Step 1: Write the proportion equation
354.26 : 531.42 = 161.78 : x - Step 2: Convert to fraction form
354.26/531.42 = 161.78/x - Step 3: Cross multiply
354.26x = 531.42 × 161.78 - Step 4: Simplify right side
354.26x = 85,973.13 - Step 5: Solve for x
x = 85,973.13/354.26 - Step 6: Final answer
x = 242.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.