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Finding the Fourth Proportional to 221.14, 329.92 and 215.38

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Solution

The fourth proportional to 221.14, 329.92 and 215.38 is: 321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 329.92 = 215.38 : x
  2. Step 2: Convert to fraction form
    221.14/329.92 = 215.38/x
  3. Step 3: Cross multiply
    221.14x = 329.92 × 215.38
  4. Step 4: Simplify right side
    221.14x = 71,058.17
  5. Step 5: Solve for x
    x = 71,058.17/221.14
  6. Step 6: Final answer
    x = 321.33

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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.