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Finding the Fourth Proportional to 308.74, 425.85 and 198.17

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Solution

The fourth proportional to 308.74, 425.85 and 198.17 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 425.85 = 198.17 : x
  2. Step 2: Convert to fraction form
    308.74/425.85 = 198.17/x
  3. Step 3: Cross multiply
    308.74x = 425.85 × 198.17
  4. Step 4: Simplify right side
    308.74x = 84,390.69
  5. Step 5: Solve for x
    x = 84,390.69/308.74
  6. Step 6: Final answer
    x = 273.34

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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.