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Finding the Fourth Proportional to 133.25, 198.78 and 113.09

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Solution

The fourth proportional to 133.25, 198.78 and 113.09 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 198.78 = 113.09 : x
  2. Step 2: Convert to fraction form
    133.25/198.78 = 113.09/x
  3. Step 3: Cross multiply
    133.25x = 198.78 × 113.09
  4. Step 4: Simplify right side
    133.25x = 22,478.61
  5. Step 5: Solve for x
    x = 22,478.61/133.25
  6. Step 6: Final answer
    x = 168.70

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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.