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Finding the Fourth Proportional to 63.49, 86.96 and 59.80

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Solution

The fourth proportional to 63.49, 86.96 and 59.80 is: 81.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.49 : 86.96 = 59.80 : x
  2. Step 2: Convert to fraction form
    63.49/86.96 = 59.80/x
  3. Step 3: Cross multiply
    63.49x = 86.96 × 59.80
  4. Step 4: Simplify right side
    63.49x = 5,200.21
  5. Step 5: Solve for x
    x = 5,200.21/63.49
  6. Step 6: Final answer
    x = 81.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.