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Finding the Fourth Proportional to 221.89, 331.85 and 197.69

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Solution

The fourth proportional to 221.89, 331.85 and 197.69 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.89 : 331.85 = 197.69 : x
  2. Step 2: Convert to fraction form
    221.89/331.85 = 197.69/x
  3. Step 3: Cross multiply
    221.89x = 331.85 × 197.69
  4. Step 4: Simplify right side
    221.89x = 65,603.43
  5. Step 5: Solve for x
    x = 65,603.43/221.89
  6. Step 6: Final answer
    x = 295.66

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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.