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Finding the Fourth Proportional to 180.50, 249.17 and 128.15

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Solution

The fourth proportional to 180.50, 249.17 and 128.15 is: 176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.50 : 249.17 = 128.15 : x
  2. Step 2: Convert to fraction form
    180.50/249.17 = 128.15/x
  3. Step 3: Cross multiply
    180.50x = 249.17 × 128.15
  4. Step 4: Simplify right side
    180.50x = 31,929.25
  5. Step 5: Solve for x
    x = 31,929.25/180.50
  6. Step 6: Final answer
    x = 176.90

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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.