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Finding the Fourth Proportional to 180.84, 251.23 and 179.15

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Solution

The fourth proportional to 180.84, 251.23 and 179.15 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 251.23 = 179.15 : x
  2. Step 2: Convert to fraction form
    180.84/251.23 = 179.15/x
  3. Step 3: Cross multiply
    180.84x = 251.23 × 179.15
  4. Step 4: Simplify right side
    180.84x = 45,007.85
  5. Step 5: Solve for x
    x = 45,007.85/180.84
  6. Step 6: Final answer
    x = 248.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.