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Finding the Fourth Proportional to 186.46, 279.48 and 132.22

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Solution

The fourth proportional to 186.46, 279.48 and 132.22 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 279.48 = 132.22 : x
  2. Step 2: Convert to fraction form
    186.46/279.48 = 132.22/x
  3. Step 3: Cross multiply
    186.46x = 279.48 × 132.22
  4. Step 4: Simplify right side
    186.46x = 36,952.85
  5. Step 5: Solve for x
    x = 36,952.85/186.46
  6. Step 6: Final answer
    x = 198.18

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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.