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Finding the Fourth Proportional to 133.24, 200.87 and 112

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Solution

The fourth proportional to 133.24, 200.87 and 112 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 200.87 = 112 : x
  2. Step 2: Convert to fraction form
    133.24/200.87 = 112/x
  3. Step 3: Cross multiply
    133.24x = 200.87 × 112
  4. Step 4: Simplify right side
    133.24x = 22,497.44
  5. Step 5: Solve for x
    x = 22,497.44/133.24
  6. Step 6: Final answer
    x = 168.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.