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Finding the Fourth Proportional to 179.72, 249.67 and 178.03

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Solution

The fourth proportional to 179.72, 249.67 and 178.03 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 249.67 = 178.03 : x
  2. Step 2: Convert to fraction form
    179.72/249.67 = 178.03/x
  3. Step 3: Cross multiply
    179.72x = 249.67 × 178.03
  4. Step 4: Simplify right side
    179.72x = 44,447.50
  5. Step 5: Solve for x
    x = 44,447.50/179.72
  6. Step 6: Final answer
    x = 247.32

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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.