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Finding the Fourth Proportional to 220.22, 328.41 and 209.48

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Solution

The fourth proportional to 220.22, 328.41 and 209.48 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 328.41 = 209.48 : x
  2. Step 2: Convert to fraction form
    220.22/328.41 = 209.48/x
  3. Step 3: Cross multiply
    220.22x = 328.41 × 209.48
  4. Step 4: Simplify right side
    220.22x = 68,793.68
  5. Step 5: Solve for x
    x = 68,793.68/220.22
  6. Step 6: Final answer
    x = 312.39

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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.