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Finding the Fourth Proportional to 185.72, 277.17 and 180.86

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Solution

The fourth proportional to 185.72, 277.17 and 180.86 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 277.17 = 180.86 : x
  2. Step 2: Convert to fraction form
    185.72/277.17 = 180.86/x
  3. Step 3: Cross multiply
    185.72x = 277.17 × 180.86
  4. Step 4: Simplify right side
    185.72x = 50,128.97
  5. Step 5: Solve for x
    x = 50,128.97/185.72
  6. Step 6: Final answer
    x = 269.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.