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Finding the Fourth Proportional to 221.96, 333.16 and 161.42

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Solution

The fourth proportional to 221.96, 333.16 and 161.42 is: 242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.96 : 333.16 = 161.42 : x
  2. Step 2: Convert to fraction form
    221.96/333.16 = 161.42/x
  3. Step 3: Cross multiply
    221.96x = 333.16 × 161.42
  4. Step 4: Simplify right side
    221.96x = 53,776.62
  5. Step 5: Solve for x
    x = 53,776.62/221.96
  6. Step 6: Final answer
    x = 242.28

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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.