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Finding the Fourth Proportional to 63.82, 96.19 and 54.91

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Solution

The fourth proportional to 63.82, 96.19 and 54.91 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 96.19 = 54.91 : x
  2. Step 2: Convert to fraction form
    63.82/96.19 = 54.91/x
  3. Step 3: Cross multiply
    63.82x = 96.19 × 54.91
  4. Step 4: Simplify right side
    63.82x = 5,281.79
  5. Step 5: Solve for x
    x = 5,281.79/63.82
  6. Step 6: Final answer
    x = 82.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.