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Finding the Fourth Proportional to 113.60, 169.52 and 112.80

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Solution

The fourth proportional to 113.60, 169.52 and 112.80 is: 168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 169.52 = 112.80 : x
  2. Step 2: Convert to fraction form
    113.60/169.52 = 112.80/x
  3. Step 3: Cross multiply
    113.60x = 169.52 × 112.80
  4. Step 4: Simplify right side
    113.60x = 19,121.86
  5. Step 5: Solve for x
    x = 19,121.86/113.60
  6. Step 6: Final answer
    x = 168.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.