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Finding the Fourth Proportional to 180.80, 269.01 and 180.19

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Solution

The fourth proportional to 180.80, 269.01 and 180.19 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 269.01 = 180.19 : x
  2. Step 2: Convert to fraction form
    180.80/269.01 = 180.19/x
  3. Step 3: Cross multiply
    180.80x = 269.01 × 180.19
  4. Step 4: Simplify right side
    180.80x = 48,472.91
  5. Step 5: Solve for x
    x = 48,472.91/180.80
  6. Step 6: Final answer
    x = 268.10

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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.