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Finding the Fourth Proportional to 180.86, 269.34 and 169.19

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Solution

The fourth proportional to 180.86, 269.34 and 169.19 is: 251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 269.34 = 169.19 : x
  2. Step 2: Convert to fraction form
    180.86/269.34 = 169.19/x
  3. Step 3: Cross multiply
    180.86x = 269.34 × 169.19
  4. Step 4: Simplify right side
    180.86x = 45,568.92
  5. Step 5: Solve for x
    x = 45,568.92/180.86
  6. Step 6: Final answer
    x = 251.95

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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.