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Finding the Fourth Proportional to 151.38, 227.30 and 86.46

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Solution

The fourth proportional to 151.38, 227.30 and 86.46 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 227.30 = 86.46 : x
  2. Step 2: Convert to fraction form
    151.38/227.30 = 86.46/x
  3. Step 3: Cross multiply
    151.38x = 227.30 × 86.46
  4. Step 4: Simplify right side
    151.38x = 19,652.11
  5. Step 5: Solve for x
    x = 19,652.11/151.38
  6. Step 6: Final answer
    x = 129.82

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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.