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Finding the Fourth Proportional to 131.96, 198.08 and 95.96

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Solution

The fourth proportional to 131.96, 198.08 and 95.96 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.96 : 198.08 = 95.96 : x
  2. Step 2: Convert to fraction form
    131.96/198.08 = 95.96/x
  3. Step 3: Cross multiply
    131.96x = 198.08 × 95.96
  4. Step 4: Simplify right side
    131.96x = 19,007.28
  5. Step 5: Solve for x
    x = 19,007.28/131.96
  6. Step 6: Final answer
    x = 144.04

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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.