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Finding the Fourth Proportional to 151.55, 226.85 and 112.80

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Solution

The fourth proportional to 151.55, 226.85 and 112.80 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.55 : 226.85 = 112.80 : x
  2. Step 2: Convert to fraction form
    151.55/226.85 = 112.80/x
  3. Step 3: Cross multiply
    151.55x = 226.85 × 112.80
  4. Step 4: Simplify right side
    151.55x = 25,588.12
  5. Step 5: Solve for x
    x = 25,588.12/151.55
  6. Step 6: Final answer
    x = 168.85

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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.