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Finding the Fourth Proportional to 221.92, 331.35 and 193.97

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Solution

The fourth proportional to 221.92, 331.35 and 193.97 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.92 : 331.35 = 193.97 : x
  2. Step 2: Convert to fraction form
    221.92/331.35 = 193.97/x
  3. Step 3: Cross multiply
    221.92x = 331.35 × 193.97
  4. Step 4: Simplify right side
    221.92x = 64,271.96
  5. Step 5: Solve for x
    x = 64,271.96/221.92
  6. Step 6: Final answer
    x = 289.62

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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.