Finding the Fourth Proportional to 415.92, 574.08 and 284.96
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Solution
The fourth proportional to 415.92, 574.08 and 284.96 is: 393.32
Step by Step Solution
- Step 1: Write the proportion equation
415.92 : 574.08 = 284.96 : x - Step 2: Convert to fraction form
415.92/574.08 = 284.96/x - Step 3: Cross multiply
415.92x = 574.08 × 284.96 - Step 4: Simplify right side
415.92x = 163,589.84 - Step 5: Solve for x
x = 163,589.84/415.92 - Step 6: Final answer
x = 393.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.