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Finding the Fourth Proportional to 372.57, 557.80 and 280.98

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Solution

The fourth proportional to 372.57, 557.80 and 280.98 is: 420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.57 : 557.80 = 280.98 : x
  2. Step 2: Convert to fraction form
    372.57/557.80 = 280.98/x
  3. Step 3: Cross multiply
    372.57x = 557.80 × 280.98
  4. Step 4: Simplify right side
    372.57x = 156,729.94
  5. Step 5: Solve for x
    x = 156,729.94/372.57
  6. Step 6: Final answer
    x = 420.68

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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.