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Finding the Fourth Proportional to 308.90, 426.17 and 253.62

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Solution

The fourth proportional to 308.90, 426.17 and 253.62 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.90 : 426.17 = 253.62 : x
  2. Step 2: Convert to fraction form
    308.90/426.17 = 253.62/x
  3. Step 3: Cross multiply
    308.90x = 426.17 × 253.62
  4. Step 4: Simplify right side
    308.90x = 108,083.97
  5. Step 5: Solve for x
    x = 108,083.97/308.90
  6. Step 6: Final answer
    x = 349.91

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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.