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Finding the Fourth Proportional to 209.45, 289 and 122.11

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Solution

The fourth proportional to 209.45, 289 and 122.11 is: 168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 289 = 122.11 : x
  2. Step 2: Convert to fraction form
    209.45/289 = 122.11/x
  3. Step 3: Cross multiply
    209.45x = 289 × 122.11
  4. Step 4: Simplify right side
    209.45x = 35,289.79
  5. Step 5: Solve for x
    x = 35,289.79/209.45
  6. Step 6: Final answer
    x = 168.49

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