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Finding the Fourth Proportional to 220.72, 329.51 and 196.42

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Solution

The fourth proportional to 220.72, 329.51 and 196.42 is: 293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.72 : 329.51 = 196.42 : x
  2. Step 2: Convert to fraction form
    220.72/329.51 = 196.42/x
  3. Step 3: Cross multiply
    220.72x = 329.51 × 196.42
  4. Step 4: Simplify right side
    220.72x = 64,722.35
  5. Step 5: Solve for x
    x = 64,722.35/220.72
  6. Step 6: Final answer
    x = 293.23

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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.