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Finding the Fourth Proportional to 221.26, 306.73 and 209.55

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Solution

The fourth proportional to 221.26, 306.73 and 209.55 is: 290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 306.73 = 209.55 : x
  2. Step 2: Convert to fraction form
    221.26/306.73 = 209.55/x
  3. Step 3: Cross multiply
    221.26x = 306.73 × 209.55
  4. Step 4: Simplify right side
    221.26x = 64,275.27
  5. Step 5: Solve for x
    x = 64,275.27/221.26
  6. Step 6: Final answer
    x = 290.50

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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.