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Finding the Fourth Proportional to 308.95, 426.38 and 198.69

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Solution

The fourth proportional to 308.95, 426.38 and 198.69 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.95 : 426.38 = 198.69 : x
  2. Step 2: Convert to fraction form
    308.95/426.38 = 198.69/x
  3. Step 3: Cross multiply
    308.95x = 426.38 × 198.69
  4. Step 4: Simplify right side
    308.95x = 84,717.44
  5. Step 5: Solve for x
    x = 84,717.44/308.95
  6. Step 6: Final answer
    x = 274.21

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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.