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Finding the Fourth Proportional to 131.75, 197.49 and 63.23

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Solution

The fourth proportional to 131.75, 197.49 and 63.23 is: 94.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.75 : 197.49 = 63.23 : x
  2. Step 2: Convert to fraction form
    131.75/197.49 = 63.23/x
  3. Step 3: Cross multiply
    131.75x = 197.49 × 63.23
  4. Step 4: Simplify right side
    131.75x = 12,487.56
  5. Step 5: Solve for x
    x = 12,487.56/131.75
  6. Step 6: Final answer
    x = 94.78

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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.