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Finding the Fourth Proportional to 209.62, 288.92 and 168.04

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Solution

The fourth proportional to 209.62, 288.92 and 168.04 is: 231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 288.92 = 168.04 : x
  2. Step 2: Convert to fraction form
    209.62/288.92 = 168.04/x
  3. Step 3: Cross multiply
    209.62x = 288.92 × 168.04
  4. Step 4: Simplify right side
    209.62x = 48,550.12
  5. Step 5: Solve for x
    x = 48,550.12/209.62
  6. Step 6: Final answer
    x = 231.61

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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.