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Finding the Fourth Proportional to 221.72, 331 and 197.42

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Solution

The fourth proportional to 221.72, 331 and 197.42 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 331 = 197.42 : x
  2. Step 2: Convert to fraction form
    221.72/331 = 197.42/x
  3. Step 3: Cross multiply
    221.72x = 331 × 197.42
  4. Step 4: Simplify right side
    221.72x = 65,346.02
  5. Step 5: Solve for x
    x = 65,346.02/221.72
  6. Step 6: Final answer
    x = 294.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.