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Finding the Fourth Proportional to 151.60, 227.29 and 102.71

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Solution

The fourth proportional to 151.60, 227.29 and 102.71 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.60 : 227.29 = 102.71 : x
  2. Step 2: Convert to fraction form
    151.60/227.29 = 102.71/x
  3. Step 3: Cross multiply
    151.60x = 227.29 × 102.71
  4. Step 4: Simplify right side
    151.60x = 23,344.44
  5. Step 5: Solve for x
    x = 23,344.44/151.60
  6. Step 6: Final answer
    x = 153.99

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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.