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Finding the Fourth Proportional to 209.96, 315.04 and 113.78

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Solution

The fourth proportional to 209.96, 315.04 and 113.78 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 315.04 = 113.78 : x
  2. Step 2: Convert to fraction form
    209.96/315.04 = 113.78/x
  3. Step 3: Cross multiply
    209.96x = 315.04 × 113.78
  4. Step 4: Simplify right side
    209.96x = 35,845.25
  5. Step 5: Solve for x
    x = 35,845.25/209.96
  6. Step 6: Final answer
    x = 170.72

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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.