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Finding the Fourth Proportional to 220.94, 329.07 and 209.38

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Solution

The fourth proportional to 220.94, 329.07 and 209.38 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.94 : 329.07 = 209.38 : x
  2. Step 2: Convert to fraction form
    220.94/329.07 = 209.38/x
  3. Step 3: Cross multiply
    220.94x = 329.07 × 209.38
  4. Step 4: Simplify right side
    220.94x = 68,899.03
  5. Step 5: Solve for x
    x = 68,899.03/220.94
  6. Step 6: Final answer
    x = 311.84

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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.