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Finding the Fourth Proportional to 209.46, 288.97 and 120.91

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Solution

The fourth proportional to 209.46, 288.97 and 120.91 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 288.97 = 120.91 : x
  2. Step 2: Convert to fraction form
    209.46/288.97 = 120.91/x
  3. Step 3: Cross multiply
    209.46x = 288.97 × 120.91
  4. Step 4: Simplify right side
    209.46x = 34,939.36
  5. Step 5: Solve for x
    x = 34,939.36/209.46
  6. Step 6: Final answer
    x = 166.81

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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.