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Finding the Fourth Proportional to 179.72, 249.03 and 175.88

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Solution

The fourth proportional to 179.72, 249.03 and 175.88 is: 243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 249.03 = 175.88 : x
  2. Step 2: Convert to fraction form
    179.72/249.03 = 175.88/x
  3. Step 3: Cross multiply
    179.72x = 249.03 × 175.88
  4. Step 4: Simplify right side
    179.72x = 43,799.40
  5. Step 5: Solve for x
    x = 43,799.40/179.72
  6. Step 6: Final answer
    x = 243.71

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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.