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Finding the Fourth Proportional to 150.38, 226.45 and 112.13

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Solution

The fourth proportional to 150.38, 226.45 and 112.13 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 226.45 = 112.13 : x
  2. Step 2: Convert to fraction form
    150.38/226.45 = 112.13/x
  3. Step 3: Cross multiply
    150.38x = 226.45 × 112.13
  4. Step 4: Simplify right side
    150.38x = 25,391.84
  5. Step 5: Solve for x
    x = 25,391.84/150.38
  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.