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Finding the Fourth Proportional to 54.52, 81.63 and 40.97

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Solution

The fourth proportional to 54.52, 81.63 and 40.97 is: 61.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.52 : 81.63 = 40.97 : x
  2. Step 2: Convert to fraction form
    54.52/81.63 = 40.97/x
  3. Step 3: Cross multiply
    54.52x = 81.63 × 40.97
  4. Step 4: Simplify right side
    54.52x = 3,344.38
  5. Step 5: Solve for x
    x = 3,344.38/54.52
  6. Step 6: Final answer
    x = 61.34

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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.