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Finding the Fourth Proportional to 180.80, 249.49 and 102.12

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Solution

The fourth proportional to 180.80, 249.49 and 102.12 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 249.49 = 102.12 : x
  2. Step 2: Convert to fraction form
    180.80/249.49 = 102.12/x
  3. Step 3: Cross multiply
    180.80x = 249.49 × 102.12
  4. Step 4: Simplify right side
    180.80x = 25,477.41
  5. Step 5: Solve for x
    x = 25,477.41/180.80
  6. Step 6: Final answer
    x = 140.91

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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.