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Finding the Fourth Proportional to 372.70, 557.88 and 337.78

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Solution

The fourth proportional to 372.70, 557.88 and 337.78 is: 505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.70 : 557.88 = 337.78 : x
  2. Step 2: Convert to fraction form
    372.70/557.88 = 337.78/x
  3. Step 3: Cross multiply
    372.70x = 557.88 × 337.78
  4. Step 4: Simplify right side
    372.70x = 188,440.71
  5. Step 5: Solve for x
    x = 188,440.71/372.70
  6. Step 6: Final answer
    x = 505.61

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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.