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Finding the Fourth Proportional to 54.32, 81.10 and 41.41

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Solution

The fourth proportional to 54.32, 81.10 and 41.41 is: 61.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.32 : 81.10 = 41.41 : x
  2. Step 2: Convert to fraction form
    54.32/81.10 = 41.41/x
  3. Step 3: Cross multiply
    54.32x = 81.10 × 41.41
  4. Step 4: Simplify right side
    54.32x = 3,357.94
  5. Step 5: Solve for x
    x = 3,357.94/54.32
  6. Step 6: Final answer
    x = 61.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.