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Finding the Fourth Proportional to 209.97, 289.78 and 121.46

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Solution

The fourth proportional to 209.97, 289.78 and 121.46 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 289.78 = 121.46 : x
  2. Step 2: Convert to fraction form
    209.97/289.78 = 121.46/x
  3. Step 3: Cross multiply
    209.97x = 289.78 × 121.46
  4. Step 4: Simplify right side
    209.97x = 35,194.93
  5. Step 5: Solve for x
    x = 35,194.93/209.97
  6. Step 6: Final answer
    x = 167.62

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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.