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Finding the Fourth Proportional to 394.24, 591.52 and 333.76

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Solution

The fourth proportional to 394.24, 591.52 and 333.76 is: 500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 591.52 = 333.76 : x
  2. Step 2: Convert to fraction form
    394.24/591.52 = 333.76/x
  3. Step 3: Cross multiply
    394.24x = 591.52 × 333.76
  4. Step 4: Simplify right side
    394.24x = 197,425.72
  5. Step 5: Solve for x
    x = 197,425.72/394.24
  6. Step 6: Final answer
    x = 500.78

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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.