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Finding the Fourth Proportional to 209.82, 289.49 and 122.46

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Solution

The fourth proportional to 209.82, 289.49 and 122.46 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.49 = 122.46 : x
  2. Step 2: Convert to fraction form
    209.82/289.49 = 122.46/x
  3. Step 3: Cross multiply
    209.82x = 289.49 × 122.46
  4. Step 4: Simplify right side
    209.82x = 35,450.33
  5. Step 5: Solve for x
    x = 35,450.33/209.82
  6. Step 6: Final answer
    x = 168.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.