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Finding the Fourth Proportional to 209.25, 313.78 and 111.73

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Solution

The fourth proportional to 209.25, 313.78 and 111.73 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 313.78 = 111.73 : x
  2. Step 2: Convert to fraction form
    209.25/313.78 = 111.73/x
  3. Step 3: Cross multiply
    209.25x = 313.78 × 111.73
  4. Step 4: Simplify right side
    209.25x = 35,060.47
  5. Step 5: Solve for x
    x = 35,060.47/209.25
  6. Step 6: Final answer
    x = 167.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.