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Finding the Fourth Proportional to 378.97, 523.28 and 295.94

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Solution

The fourth proportional to 378.97, 523.28 and 295.94 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.97 : 523.28 = 295.94 : x
  2. Step 2: Convert to fraction form
    378.97/523.28 = 295.94/x
  3. Step 3: Cross multiply
    378.97x = 523.28 × 295.94
  4. Step 4: Simplify right side
    378.97x = 154,856.92
  5. Step 5: Solve for x
    x = 154,856.92/378.97
  6. Step 6: Final answer
    x = 408.62

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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.