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Finding the Fourth Proportional to 54.53, 81.71 and 40.98

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Solution

The fourth proportional to 54.53, 81.71 and 40.98 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.53 : 81.71 = 40.98 : x
  2. Step 2: Convert to fraction form
    54.53/81.71 = 40.98/x
  3. Step 3: Cross multiply
    54.53x = 81.71 × 40.98
  4. Step 4: Simplify right side
    54.53x = 3,348.81
  5. Step 5: Solve for x
    x = 3,348.81/54.53
  6. Step 6: Final answer
    x = 61.42

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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.