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Finding the Fourth Proportional to 225.11, 337.87 and 95.20

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Solution

The fourth proportional to 225.11, 337.87 and 95.20 is: 142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.11 : 337.87 = 95.20 : x
  2. Step 2: Convert to fraction form
    225.11/337.87 = 95.20/x
  3. Step 3: Cross multiply
    225.11x = 337.87 × 95.20
  4. Step 4: Simplify right side
    225.11x = 32,165.59
  5. Step 5: Solve for x
    x = 32,165.59/225.11
  6. Step 6: Final answer
    x = 142.89

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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.