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Finding the Fourth Proportional to 185.67, 279.49 and 131.94

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Solution

The fourth proportional to 185.67, 279.49 and 131.94 is: 198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.67 : 279.49 = 131.94 : x
  2. Step 2: Convert to fraction form
    185.67/279.49 = 131.94/x
  3. Step 3: Cross multiply
    185.67x = 279.49 × 131.94
  4. Step 4: Simplify right side
    185.67x = 36,875.91
  5. Step 5: Solve for x
    x = 36,875.91/185.67
  6. Step 6: Final answer
    x = 198.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.