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Finding the Fourth Proportional to 133.62, 200.28 and 72.78

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Solution

The fourth proportional to 133.62, 200.28 and 72.78 is: 109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.62 : 200.28 = 72.78 : x
  2. Step 2: Convert to fraction form
    133.62/200.28 = 72.78/x
  3. Step 3: Cross multiply
    133.62x = 200.28 × 72.78
  4. Step 4: Simplify right side
    133.62x = 14,576.38
  5. Step 5: Solve for x
    x = 14,576.38/133.62
  6. Step 6: Final answer
    x = 109.09

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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.