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Finding the Fourth Proportional to 220.76, 306.04 and 209.05

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Solution

The fourth proportional to 220.76, 306.04 and 209.05 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.76 : 306.04 = 209.05 : x
  2. Step 2: Convert to fraction form
    220.76/306.04 = 209.05/x
  3. Step 3: Cross multiply
    220.76x = 306.04 × 209.05
  4. Step 4: Simplify right side
    220.76x = 63,976.62
  5. Step 5: Solve for x
    x = 63,976.62/220.76
  6. Step 6: Final answer
    x = 289.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.