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Finding the Fourth Proportional to 308.74, 426.46 and 249.95

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Solution

The fourth proportional to 308.74, 426.46 and 249.95 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 426.46 = 249.95 : x
  2. Step 2: Convert to fraction form
    308.74/426.46 = 249.95/x
  3. Step 3: Cross multiply
    308.74x = 426.46 × 249.95
  4. Step 4: Simplify right side
    308.74x = 106,592.17
  5. Step 5: Solve for x
    x = 106,592.17/308.74
  6. Step 6: Final answer
    x = 345.25

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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.