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Finding the Fourth Proportional to 308.74, 426.02 and 198.31

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Solution

The fourth proportional to 308.74, 426.02 and 198.31 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 426.02 = 198.31 : x
  2. Step 2: Convert to fraction form
    308.74/426.02 = 198.31/x
  3. Step 3: Cross multiply
    308.74x = 426.02 × 198.31
  4. Step 4: Simplify right side
    308.74x = 84,484.03
  5. Step 5: Solve for x
    x = 84,484.03/308.74
  6. Step 6: Final answer
    x = 273.64

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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.