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Finding the Fourth Proportional to 209.73, 314.78 and 112.31

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Solution

The fourth proportional to 209.73, 314.78 and 112.31 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.73 : 314.78 = 112.31 : x
  2. Step 2: Convert to fraction form
    209.73/314.78 = 112.31/x
  3. Step 3: Cross multiply
    209.73x = 314.78 × 112.31
  4. Step 4: Simplify right side
    209.73x = 35,352.94
  5. Step 5: Solve for x
    x = 35,352.94/209.73
  6. Step 6: Final answer
    x = 168.56

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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.