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Finding the Fourth Proportional to 221.22, 329.76 and 220.86

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Solution

The fourth proportional to 221.22, 329.76 and 220.86 is: 329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 329.76 = 220.86 : x
  2. Step 2: Convert to fraction form
    221.22/329.76 = 220.86/x
  3. Step 3: Cross multiply
    221.22x = 329.76 × 220.86
  4. Step 4: Simplify right side
    221.22x = 72,830.79
  5. Step 5: Solve for x
    x = 72,830.79/221.22
  6. Step 6: Final answer
    x = 329.22

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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.