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Finding the Fourth Proportional to 220.92, 329.86 and 192.97

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Solution

The fourth proportional to 220.92, 329.86 and 192.97 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 329.86 = 192.97 : x
  2. Step 2: Convert to fraction form
    220.92/329.86 = 192.97/x
  3. Step 3: Cross multiply
    220.92x = 329.86 × 192.97
  4. Step 4: Simplify right side
    220.92x = 63,653.08
  5. Step 5: Solve for x
    x = 63,653.08/220.92
  6. Step 6: Final answer
    x = 288.13

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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.