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Finding the Fourth Proportional to 220.68, 329.41 and 206.44

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Solution

The fourth proportional to 220.68, 329.41 and 206.44 is: 308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.68 : 329.41 = 206.44 : x
  2. Step 2: Convert to fraction form
    220.68/329.41 = 206.44/x
  3. Step 3: Cross multiply
    220.68x = 329.41 × 206.44
  4. Step 4: Simplify right side
    220.68x = 68,003.40
  5. Step 5: Solve for x
    x = 68,003.40/220.68
  6. Step 6: Final answer
    x = 308.15

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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.