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Finding the Fourth Proportional to 209.27, 288.73 and 120.73

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Solution

The fourth proportional to 209.27, 288.73 and 120.73 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 288.73 = 120.73 : x
  2. Step 2: Convert to fraction form
    209.27/288.73 = 120.73/x
  3. Step 3: Cross multiply
    209.27x = 288.73 × 120.73
  4. Step 4: Simplify right side
    209.27x = 34,857.77
  5. Step 5: Solve for x
    x = 34,857.77/209.27
  6. Step 6: Final answer
    x = 166.57

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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.