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Finding the Fourth Proportional to 308.99, 463.53 and 126.44

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Solution

The fourth proportional to 308.99, 463.53 and 126.44 is: 189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.99 : 463.53 = 126.44 : x
  2. Step 2: Convert to fraction form
    308.99/463.53 = 126.44/x
  3. Step 3: Cross multiply
    308.99x = 463.53 × 126.44
  4. Step 4: Simplify right side
    308.99x = 58,608.73
  5. Step 5: Solve for x
    x = 58,608.73/308.99
  6. Step 6: Final answer
    x = 189.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.