Finding the Fourth Proportional to 409.70, 614.42 and 135.74
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Solution
The fourth proportional to 409.70, 614.42 and 135.74 is: 203.56
Step by Step Solution
- Step 1: Write the proportion equation
409.70 : 614.42 = 135.74 : x - Step 2: Convert to fraction form
409.70/614.42 = 135.74/x - Step 3: Cross multiply
409.70x = 614.42 × 135.74 - Step 4: Simplify right side
409.70x = 83,397.62 - Step 5: Solve for x
x = 83,397.62/409.70 - Step 6: Final answer
x = 203.56
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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.