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Finding the Fourth Proportional to 133.78, 200.48 and 92.61

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Solution

The fourth proportional to 133.78, 200.48 and 92.61 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.78 : 200.48 = 92.61 : x
  2. Step 2: Convert to fraction form
    133.78/200.48 = 92.61/x
  3. Step 3: Cross multiply
    133.78x = 200.48 × 92.61
  4. Step 4: Simplify right side
    133.78x = 18,566.45
  5. Step 5: Solve for x
    x = 18,566.45/133.78
  6. Step 6: Final answer
    x = 138.78

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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.