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Finding the Fourth Proportional to 180.80, 269.67 and 178.04

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Solution

The fourth proportional to 180.80, 269.67 and 178.04 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 269.67 = 178.04 : x
  2. Step 2: Convert to fraction form
    180.80/269.67 = 178.04/x
  3. Step 3: Cross multiply
    180.80x = 269.67 × 178.04
  4. Step 4: Simplify right side
    180.80x = 48,012.05
  5. Step 5: Solve for x
    x = 48,012.05/180.80
  6. Step 6: Final answer
    x = 265.55

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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.