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Finding the Fourth Proportional to 180.80, 269.88 and 168.64

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Solution

The fourth proportional to 180.80, 269.88 and 168.64 is: 251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 269.88 = 168.64 : x
  2. Step 2: Convert to fraction form
    180.80/269.88 = 168.64/x
  3. Step 3: Cross multiply
    180.80x = 269.88 × 168.64
  4. Step 4: Simplify right side
    180.80x = 45,512.56
  5. Step 5: Solve for x
    x = 45,512.56/180.80
  6. Step 6: Final answer
    x = 251.73

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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.