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Finding the Fourth Proportional to 133.89, 200.46 and 72.75

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Solution

The fourth proportional to 133.89, 200.46 and 72.75 is: 108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.89 : 200.46 = 72.75 : x
  2. Step 2: Convert to fraction form
    133.89/200.46 = 72.75/x
  3. Step 3: Cross multiply
    133.89x = 200.46 × 72.75
  4. Step 4: Simplify right side
    133.89x = 14,583.47
  5. Step 5: Solve for x
    x = 14,583.47/133.89
  6. Step 6: Final answer
    x = 108.92

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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.