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Finding the Fourth Proportional to 209.75, 314.24 and 106.79

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Solution

The fourth proportional to 209.75, 314.24 and 106.79 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.24 = 106.79 : x
  2. Step 2: Convert to fraction form
    209.75/314.24 = 106.79/x
  3. Step 3: Cross multiply
    209.75x = 314.24 × 106.79
  4. Step 4: Simplify right side
    209.75x = 33,555.58
  5. Step 5: Solve for x
    x = 33,555.58/209.75
  6. Step 6: Final answer
    x = 159.98

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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.