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Finding the Fourth Proportional to 131.84, 198.04 and 112.60

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Solution

The fourth proportional to 131.84, 198.04 and 112.60 is: 169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 198.04 = 112.60 : x
  2. Step 2: Convert to fraction form
    131.84/198.04 = 112.60/x
  3. Step 3: Cross multiply
    131.84x = 198.04 × 112.60
  4. Step 4: Simplify right side
    131.84x = 22,299.30
  5. Step 5: Solve for x
    x = 22,299.30/131.84
  6. Step 6: Final answer
    x = 169.14

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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.