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Finding the Fourth Proportional to 112.29, 169.46 and 108.57

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Solution

The fourth proportional to 112.29, 169.46 and 108.57 is: 163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.29 : 169.46 = 108.57 : x
  2. Step 2: Convert to fraction form
    112.29/169.46 = 108.57/x
  3. Step 3: Cross multiply
    112.29x = 169.46 × 108.57
  4. Step 4: Simplify right side
    112.29x = 18,397.73
  5. Step 5: Solve for x
    x = 18,397.73/112.29
  6. Step 6: Final answer
    x = 163.84

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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.