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Finding the Fourth Proportional to 209.78, 312.96 and 198.44

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Solution

The fourth proportional to 209.78, 312.96 and 198.44 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 312.96 = 198.44 : x
  2. Step 2: Convert to fraction form
    209.78/312.96 = 198.44/x
  3. Step 3: Cross multiply
    209.78x = 312.96 × 198.44
  4. Step 4: Simplify right side
    209.78x = 62,101.23
  5. Step 5: Solve for x
    x = 62,101.23/209.78
  6. Step 6: Final answer
    x = 296.04

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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.