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Finding the Fourth Proportional to 180.72, 250.64 and 178.56

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Solution

The fourth proportional to 180.72, 250.64 and 178.56 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 250.64 = 178.56 : x
  2. Step 2: Convert to fraction form
    180.72/250.64 = 178.56/x
  3. Step 3: Cross multiply
    180.72x = 250.64 × 178.56
  4. Step 4: Simplify right side
    180.72x = 44,754.28
  5. Step 5: Solve for x
    x = 44,754.28/180.72
  6. Step 6: Final answer
    x = 247.64

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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.