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Finding the Fourth Proportional to 131.16, 196.96 and 113.88

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Solution

The fourth proportional to 131.16, 196.96 and 113.88 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 196.96 = 113.88 : x
  2. Step 2: Convert to fraction form
    131.16/196.96 = 113.88/x
  3. Step 3: Cross multiply
    131.16x = 196.96 × 113.88
  4. Step 4: Simplify right side
    131.16x = 22,429.80
  5. Step 5: Solve for x
    x = 22,429.80/131.16
  6. Step 6: Final answer
    x = 171.01

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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.