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Finding the Fourth Proportional to 133.24, 198.80 and 113.76

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Solution

The fourth proportional to 133.24, 198.80 and 113.76 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 198.80 = 113.76 : x
  2. Step 2: Convert to fraction form
    133.24/198.80 = 113.76/x
  3. Step 3: Cross multiply
    133.24x = 198.80 × 113.76
  4. Step 4: Simplify right side
    133.24x = 22,614.92
  5. Step 5: Solve for x
    x = 22,614.92/133.24
  6. Step 6: Final answer
    x = 169.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.