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Finding the Fourth Proportional to 209.08, 288.94 and 169.66

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Solution

The fourth proportional to 209.08, 288.94 and 169.66 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 288.94 = 169.66 : x
  2. Step 2: Convert to fraction form
    209.08/288.94 = 169.66/x
  3. Step 3: Cross multiply
    209.08x = 288.94 × 169.66
  4. Step 4: Simplify right side
    209.08x = 49,021.56
  5. Step 5: Solve for x
    x = 49,021.56/209.08
  6. Step 6: Final answer
    x = 234.46

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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.