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Finding the Fourth Proportional to 209.75, 312.82 and 198.81

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Solution

The fourth proportional to 209.75, 312.82 and 198.81 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 312.82 = 198.81 : x
  2. Step 2: Convert to fraction form
    209.75/312.82 = 198.81/x
  3. Step 3: Cross multiply
    209.75x = 312.82 × 198.81
  4. Step 4: Simplify right side
    209.75x = 62,191.25
  5. Step 5: Solve for x
    x = 62,191.25/209.75
  6. Step 6: Final answer
    x = 296.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.