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Finding the Fourth Proportional to 63.92, 96.30 and 63.60

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Solution

The fourth proportional to 63.92, 96.30 and 63.60 is: 95.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.92 : 96.30 = 63.60 : x
  2. Step 2: Convert to fraction form
    63.92/96.30 = 63.60/x
  3. Step 3: Cross multiply
    63.92x = 96.30 × 63.60
  4. Step 4: Simplify right side
    63.92x = 6,124.68
  5. Step 5: Solve for x
    x = 6,124.68/63.92
  6. Step 6: Final answer
    x = 95.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.