Finding the Fourth Proportional to 416.20, 624.08 and 142.26
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Solution
The fourth proportional to 416.20, 624.08 and 142.26 is: 213.31
Step by Step Solution
- Step 1: Write the proportion equation
416.20 : 624.08 = 142.26 : x - Step 2: Convert to fraction form
416.20/624.08 = 142.26/x - Step 3: Cross multiply
416.20x = 624.08 × 142.26 - Step 4: Simplify right side
416.20x = 88,781.62 - Step 5: Solve for x
x = 88,781.62/416.20 - Step 6: Final answer
x = 213.31
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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.