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Finding the Fourth Proportional to 375.50, 562.77 and 158.78

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Solution

The fourth proportional to 375.50, 562.77 and 158.78 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 562.77 = 158.78 : x
  2. Step 2: Convert to fraction form
    375.50/562.77 = 158.78/x
  3. Step 3: Cross multiply
    375.50x = 562.77 × 158.78
  4. Step 4: Simplify right side
    375.50x = 89,358.62
  5. Step 5: Solve for x
    x = 89,358.62/375.50
  6. Step 6: Final answer
    x = 237.97

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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.