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Finding the Fourth Proportional to 63.96, 96.12 and 38.29

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Solution

The fourth proportional to 63.96, 96.12 and 38.29 is: 57.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.96 : 96.12 = 38.29 : x
  2. Step 2: Convert to fraction form
    63.96/96.12 = 38.29/x
  3. Step 3: Cross multiply
    63.96x = 96.12 × 38.29
  4. Step 4: Simplify right side
    63.96x = 3,680.19
  5. Step 5: Solve for x
    x = 3,680.19/63.96
  6. Step 6: Final answer
    x = 57.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.