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Finding the Fourth Proportional to 209.67, 314.10 and 106.71

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Solution

The fourth proportional to 209.67, 314.10 and 106.71 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 314.10 = 106.71 : x
  2. Step 2: Convert to fraction form
    209.67/314.10 = 106.71/x
  3. Step 3: Cross multiply
    209.67x = 314.10 × 106.71
  4. Step 4: Simplify right side
    209.67x = 33,517.61
  5. Step 5: Solve for x
    x = 33,517.61/209.67
  6. Step 6: Final answer
    x = 159.86

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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.