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Finding the Fourth Proportional to 220.04, 329.98 and 65.92

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Solution

The fourth proportional to 220.04, 329.98 and 65.92 is: 98.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.04 : 329.98 = 65.92 : x
  2. Step 2: Convert to fraction form
    220.04/329.98 = 65.92/x
  3. Step 3: Cross multiply
    220.04x = 329.98 × 65.92
  4. Step 4: Simplify right side
    220.04x = 21,752.28
  5. Step 5: Solve for x
    x = 21,752.28/220.04
  6. Step 6: Final answer
    x = 98.86

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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.