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Finding the Fourth Proportional to 382.62, 572.82 and 225.97

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Solution

The fourth proportional to 382.62, 572.82 and 225.97 is: 338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.62 : 572.82 = 225.97 : x
  2. Step 2: Convert to fraction form
    382.62/572.82 = 225.97/x
  3. Step 3: Cross multiply
    382.62x = 572.82 × 225.97
  4. Step 4: Simplify right side
    382.62x = 129,440.14
  5. Step 5: Solve for x
    x = 129,440.14/382.62
  6. Step 6: Final answer
    x = 338.30

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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.