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Finding the Fourth Proportional to 112.77, 169.10 and 40.59

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Solution

The fourth proportional to 112.77, 169.10 and 40.59 is: 60.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.77 : 169.10 = 40.59 : x
  2. Step 2: Convert to fraction form
    112.77/169.10 = 40.59/x
  3. Step 3: Cross multiply
    112.77x = 169.10 × 40.59
  4. Step 4: Simplify right side
    112.77x = 6,863.57
  5. Step 5: Solve for x
    x = 6,863.57/112.77
  6. Step 6: Final answer
    x = 60.86

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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.