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Finding the Fourth Proportional to 54.31, 81.28 and 50.87

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Solution

The fourth proportional to 54.31, 81.28 and 50.87 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.31 : 81.28 = 50.87 : x
  2. Step 2: Convert to fraction form
    54.31/81.28 = 50.87/x
  3. Step 3: Cross multiply
    54.31x = 81.28 × 50.87
  4. Step 4: Simplify right side
    54.31x = 4,134.71
  5. Step 5: Solve for x
    x = 4,134.71/54.31
  6. Step 6: Final answer
    x = 76.13

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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.