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Finding the Fourth Proportional to 63.22, 87.20 and 43.78

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Solution

The fourth proportional to 63.22, 87.20 and 43.78 is: 60.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.22 : 87.20 = 43.78 : x
  2. Step 2: Convert to fraction form
    63.22/87.20 = 43.78/x
  3. Step 3: Cross multiply
    63.22x = 87.20 × 43.78
  4. Step 4: Simplify right side
    63.22x = 3,817.62
  5. Step 5: Solve for x
    x = 3,817.62/63.22
  6. Step 6: Final answer
    x = 60.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.