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Finding the Fourth Proportional to 308.96, 462.56 and 279.76

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Solution

The fourth proportional to 308.96, 462.56 and 279.76 is: 418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 462.56 = 279.76 : x
  2. Step 2: Convert to fraction form
    308.96/462.56 = 279.76/x
  3. Step 3: Cross multiply
    308.96x = 462.56 × 279.76
  4. Step 4: Simplify right side
    308.96x = 129,405.79
  5. Step 5: Solve for x
    x = 129,405.79/308.96
  6. Step 6: Final answer
    x = 418.84

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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.