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Finding the Fourth Proportional to 80.22, 110.22 and 63.82

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Solution

The fourth proportional to 80.22, 110.22 and 63.82 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.22 : 110.22 = 63.82 : x
  2. Step 2: Convert to fraction form
    80.22/110.22 = 63.82/x
  3. Step 3: Cross multiply
    80.22x = 110.22 × 63.82
  4. Step 4: Simplify right side
    80.22x = 7,033.92
  5. Step 5: Solve for x
    x = 7,033.92/80.22
  6. Step 6: Final answer
    x = 87.68

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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.