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Finding the Fourth Proportional to 209.67, 289.39 and 139.61

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Solution

The fourth proportional to 209.67, 289.39 and 139.61 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 289.39 = 139.61 : x
  2. Step 2: Convert to fraction form
    209.67/289.39 = 139.61/x
  3. Step 3: Cross multiply
    209.67x = 289.39 × 139.61
  4. Step 4: Simplify right side
    209.67x = 40,399.94
  5. Step 5: Solve for x
    x = 40,399.94/209.67
  6. Step 6: Final answer
    x = 192.68

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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.