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Finding the Fourth Proportional to 185.52, 279.39 and 161.76

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Solution

The fourth proportional to 185.52, 279.39 and 161.76 is: 243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 279.39 = 161.76 : x
  2. Step 2: Convert to fraction form
    185.52/279.39 = 161.76/x
  3. Step 3: Cross multiply
    185.52x = 279.39 × 161.76
  4. Step 4: Simplify right side
    185.52x = 45,194.13
  5. Step 5: Solve for x
    x = 45,194.13/185.52
  6. Step 6: Final answer
    x = 243.61

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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.