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Finding the Fourth Proportional to 62.78, 86.42 and 50.47

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Solution

The fourth proportional to 62.78, 86.42 and 50.47 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 86.42 = 50.47 : x
  2. Step 2: Convert to fraction form
    62.78/86.42 = 50.47/x
  3. Step 3: Cross multiply
    62.78x = 86.42 × 50.47
  4. Step 4: Simplify right side
    62.78x = 4,361.73
  5. Step 5: Solve for x
    x = 4,361.73/62.78
  6. Step 6: Final answer
    x = 69.48

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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.