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Finding the Fourth Proportional to 151.77, 227.71 and 54.28

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Solution

The fourth proportional to 151.77, 227.71 and 54.28 is: 81.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.77 : 227.71 = 54.28 : x
  2. Step 2: Convert to fraction form
    151.77/227.71 = 54.28/x
  3. Step 3: Cross multiply
    151.77x = 227.71 × 54.28
  4. Step 4: Simplify right side
    151.77x = 12,359.53
  5. Step 5: Solve for x
    x = 12,359.53/151.77
  6. Step 6: Final answer
    x = 81.44

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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.