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Finding the Fourth Proportional to 180.20, 269.09 and 154.22

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Solution

The fourth proportional to 180.20, 269.09 and 154.22 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 269.09 = 154.22 : x
  2. Step 2: Convert to fraction form
    180.20/269.09 = 154.22/x
  3. Step 3: Cross multiply
    180.20x = 269.09 × 154.22
  4. Step 4: Simplify right side
    180.20x = 41,496.94
  5. Step 5: Solve for x
    x = 41,496.94/180.20
  6. Step 6: Final answer
    x = 230.29

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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.