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Finding the Fourth Proportional to 209.44, 289.68 and 198.64

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Solution

The fourth proportional to 209.44, 289.68 and 198.64 is: 274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 289.68 = 198.64 : x
  2. Step 2: Convert to fraction form
    209.44/289.68 = 198.64/x
  3. Step 3: Cross multiply
    209.44x = 289.68 × 198.64
  4. Step 4: Simplify right side
    209.44x = 57,542.04
  5. Step 5: Solve for x
    x = 57,542.04/209.44
  6. Step 6: Final answer
    x = 274.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.