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Finding the Fourth Proportional to 133.38, 198.99 and 112.86

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Solution

The fourth proportional to 133.38, 198.99 and 112.86 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 198.99 = 112.86 : x
  2. Step 2: Convert to fraction form
    133.38/198.99 = 112.86/x
  3. Step 3: Cross multiply
    133.38x = 198.99 × 112.86
  4. Step 4: Simplify right side
    133.38x = 22,458.01
  5. Step 5: Solve for x
    x = 22,458.01/133.38
  6. Step 6: Final answer
    x = 168.38

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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.