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Finding the Fourth Proportional to 220.89, 331.20 and 180.54

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Solution

The fourth proportional to 220.89, 331.20 and 180.54 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.89 : 331.20 = 180.54 : x
  2. Step 2: Convert to fraction form
    220.89/331.20 = 180.54/x
  3. Step 3: Cross multiply
    220.89x = 331.20 × 180.54
  4. Step 4: Simplify right side
    220.89x = 59,794.85
  5. Step 5: Solve for x
    x = 59,794.85/220.89
  6. Step 6: Final answer
    x = 270.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.