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Finding the Fourth Proportional to 209.93, 289.72 and 122.61

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Solution

The fourth proportional to 209.93, 289.72 and 122.61 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 289.72 = 122.61 : x
  2. Step 2: Convert to fraction form
    209.93/289.72 = 122.61/x
  3. Step 3: Cross multiply
    209.93x = 289.72 × 122.61
  4. Step 4: Simplify right side
    209.93x = 35,522.57
  5. Step 5: Solve for x
    x = 35,522.57/209.93
  6. Step 6: Final answer
    x = 169.21

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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.