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Finding the Fourth Proportional to 221.27, 329.83 and 217.63

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Solution

The fourth proportional to 221.27, 329.83 and 217.63 is: 324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.27 : 329.83 = 217.63 : x
  2. Step 2: Convert to fraction form
    221.27/329.83 = 217.63/x
  3. Step 3: Cross multiply
    221.27x = 329.83 × 217.63
  4. Step 4: Simplify right side
    221.27x = 71,779.53
  5. Step 5: Solve for x
    x = 71,779.53/221.27
  6. Step 6: Final answer
    x = 324.39

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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.