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Finding the Fourth Proportional to 62.46, 86.20 and 37.90

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Solution

The fourth proportional to 62.46, 86.20 and 37.90 is: 52.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.46 : 86.20 = 37.90 : x
  2. Step 2: Convert to fraction form
    62.46/86.20 = 37.90/x
  3. Step 3: Cross multiply
    62.46x = 86.20 × 37.90
  4. Step 4: Simplify right side
    62.46x = 3,266.98
  5. Step 5: Solve for x
    x = 3,266.98/62.46
  6. Step 6: Final answer
    x = 52.31

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