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Finding the Fourth Proportional to 308.25, 462.39 and 284.45

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Solution

The fourth proportional to 308.25, 462.39 and 284.45 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.39 = 284.45 : x
  2. Step 2: Convert to fraction form
    308.25/462.39 = 284.45/x
  3. Step 3: Cross multiply
    308.25x = 462.39 × 284.45
  4. Step 4: Simplify right side
    308.25x = 131,523.46
  5. Step 5: Solve for x
    x = 131,523.46/308.25
  6. Step 6: Final answer
    x = 426.68

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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.