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Finding the Fourth Proportional to 308.26, 463.94 and 231.62

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Solution

The fourth proportional to 308.26, 463.94 and 231.62 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.26 : 463.94 = 231.62 : x
  2. Step 2: Convert to fraction form
    308.26/463.94 = 231.62/x
  3. Step 3: Cross multiply
    308.26x = 463.94 × 231.62
  4. Step 4: Simplify right side
    308.26x = 107,456.62
  5. Step 5: Solve for x
    x = 107,456.62/308.26
  6. Step 6: Final answer
    x = 348.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.