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Finding the Fourth Proportional to 153.25, 229.68 and 112.60

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Solution

The fourth proportional to 153.25, 229.68 and 112.60 is: 168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.25 : 229.68 = 112.60 : x
  2. Step 2: Convert to fraction form
    153.25/229.68 = 112.60/x
  3. Step 3: Cross multiply
    153.25x = 229.68 × 112.60
  4. Step 4: Simplify right side
    153.25x = 25,861.97
  5. Step 5: Solve for x
    x = 25,861.97/153.25
  6. Step 6: Final answer
    x = 168.76

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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.