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Finding the Fourth Proportional to 133.97, 201.12 and 111.42

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Solution

The fourth proportional to 133.97, 201.12 and 111.42 is: 167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.97 : 201.12 = 111.42 : x
  2. Step 2: Convert to fraction form
    133.97/201.12 = 111.42/x
  3. Step 3: Cross multiply
    133.97x = 201.12 × 111.42
  4. Step 4: Simplify right side
    133.97x = 22,408.79
  5. Step 5: Solve for x
    x = 22,408.79/133.97
  6. Step 6: Final answer
    x = 167.26

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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.