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Finding the Fourth Proportional to 220.20, 329.70 and 198.32

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Solution

The fourth proportional to 220.20, 329.70 and 198.32 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.20 : 329.70 = 198.32 : x
  2. Step 2: Convert to fraction form
    220.20/329.70 = 198.32/x
  3. Step 3: Cross multiply
    220.20x = 329.70 × 198.32
  4. Step 4: Simplify right side
    220.20x = 65,386.10
  5. Step 5: Solve for x
    x = 65,386.10/220.20
  6. Step 6: Final answer
    x = 296.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.