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Finding the Fourth Proportional to 180.92, 249.68 and 103.28

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Solution

The fourth proportional to 180.92, 249.68 and 103.28 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.68 = 103.28 : x
  2. Step 2: Convert to fraction form
    180.92/249.68 = 103.28/x
  3. Step 3: Cross multiply
    180.92x = 249.68 × 103.28
  4. Step 4: Simplify right side
    180.92x = 25,786.95
  5. Step 5: Solve for x
    x = 25,786.95/180.92
  6. Step 6: Final answer
    x = 142.53

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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.