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Finding the Fourth Proportional to 372.32, 557.22 and 280.80

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Solution

The fourth proportional to 372.32, 557.22 and 280.80 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.32 : 557.22 = 280.80 : x
  2. Step 2: Convert to fraction form
    372.32/557.22 = 280.80/x
  3. Step 3: Cross multiply
    372.32x = 557.22 × 280.80
  4. Step 4: Simplify right side
    372.32x = 156,467.38
  5. Step 5: Solve for x
    x = 156,467.38/372.32
  6. Step 6: Final answer
    x = 420.25

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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.