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Finding the Fourth Proportional to 221.02, 329.97 and 169.39

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Solution

The fourth proportional to 221.02, 329.97 and 169.39 is: 252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.02 : 329.97 = 169.39 : x
  2. Step 2: Convert to fraction form
    221.02/329.97 = 169.39/x
  3. Step 3: Cross multiply
    221.02x = 329.97 × 169.39
  4. Step 4: Simplify right side
    221.02x = 55,893.62
  5. Step 5: Solve for x
    x = 55,893.62/221.02
  6. Step 6: Final answer
    x = 252.89

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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.