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Finding the Fourth Proportional to 62.38, 86.10 and 36.50

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Solution

The fourth proportional to 62.38, 86.10 and 36.50 is: 50.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.38 : 86.10 = 36.50 : x
  2. Step 2: Convert to fraction form
    62.38/86.10 = 36.50/x
  3. Step 3: Cross multiply
    62.38x = 86.10 × 36.50
  4. Step 4: Simplify right side
    62.38x = 3,142.65
  5. Step 5: Solve for x
    x = 3,142.65/62.38
  6. Step 6: Final answer
    x = 50.38

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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.