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Finding the Fourth Proportional to 151.55, 209.31 and 112.15

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Solution

The fourth proportional to 151.55, 209.31 and 112.15 is: 154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.55 : 209.31 = 112.15 : x
  2. Step 2: Convert to fraction form
    151.55/209.31 = 112.15/x
  3. Step 3: Cross multiply
    151.55x = 209.31 × 112.15
  4. Step 4: Simplify right side
    151.55x = 23,473.59
  5. Step 5: Solve for x
    x = 23,473.59/151.55
  6. Step 6: Final answer
    x = 154.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.