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Finding the Fourth Proportional to 180.72, 251.12 and 178.43

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Solution

The fourth proportional to 180.72, 251.12 and 178.43 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 251.12 = 178.43 : x
  2. Step 2: Convert to fraction form
    180.72/251.12 = 178.43/x
  3. Step 3: Cross multiply
    180.72x = 251.12 × 178.43
  4. Step 4: Simplify right side
    180.72x = 44,806.53
  5. Step 5: Solve for x
    x = 44,806.53/180.72
  6. Step 6: Final answer
    x = 247.93

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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.