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Finding the Fourth Proportional to 180.73, 249.69 and 144.19

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Solution

The fourth proportional to 180.73, 249.69 and 144.19 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.73 : 249.69 = 144.19 : x
  2. Step 2: Convert to fraction form
    180.73/249.69 = 144.19/x
  3. Step 3: Cross multiply
    180.73x = 249.69 × 144.19
  4. Step 4: Simplify right side
    180.73x = 36,002.80
  5. Step 5: Solve for x
    x = 36,002.80/180.73
  6. Step 6: Final answer
    x = 199.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.