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Finding the Fourth Proportional to 63.41, 94.65 and 54.90

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Solution

The fourth proportional to 63.41, 94.65 and 54.90 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.41 : 94.65 = 54.90 : x
  2. Step 2: Convert to fraction form
    63.41/94.65 = 54.90/x
  3. Step 3: Cross multiply
    63.41x = 94.65 × 54.90
  4. Step 4: Simplify right side
    63.41x = 5,196.08
  5. Step 5: Solve for x
    x = 5,196.08/63.41
  6. Step 6: Final answer
    x = 81.95

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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.