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Finding the Fourth Proportional to 186.72, 279.78 and 132.50

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Solution

The fourth proportional to 186.72, 279.78 and 132.50 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.72 : 279.78 = 132.50 : x
  2. Step 2: Convert to fraction form
    186.72/279.78 = 132.50/x
  3. Step 3: Cross multiply
    186.72x = 279.78 × 132.50
  4. Step 4: Simplify right side
    186.72x = 37,070.85
  5. Step 5: Solve for x
    x = 37,070.85/186.72
  6. Step 6: Final answer
    x = 198.54

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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.