Home / 180.20-269.66-123.24

Finding the Fourth Proportional to 180.20, 269.66 and 123.24

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Solution

The fourth proportional to 180.20, 269.66 and 123.24 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 269.66 = 123.24 : x
  2. Step 2: Convert to fraction form
    180.20/269.66 = 123.24/x
  3. Step 3: Cross multiply
    180.20x = 269.66 × 123.24
  4. Step 4: Simplify right side
    180.20x = 33,232.90
  5. Step 5: Solve for x
    x = 33,232.90/180.20
  6. Step 6: Final answer
    x = 184.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.