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Finding the Fourth Proportional to 149.73, 206.67 and 112.92

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Solution

The fourth proportional to 149.73, 206.67 and 112.92 is: 155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.73 : 206.67 = 112.92 : x
  2. Step 2: Convert to fraction form
    149.73/206.67 = 112.92/x
  3. Step 3: Cross multiply
    149.73x = 206.67 × 112.92
  4. Step 4: Simplify right side
    149.73x = 23,337.18
  5. Step 5: Solve for x
    x = 23,337.18/149.73
  6. Step 6: Final answer
    x = 155.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.