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Finding the Fourth Proportional to 394.76, 591.96 and 333.09

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Solution

The fourth proportional to 394.76, 591.96 and 333.09 is: 499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 591.96 = 333.09 : x
  2. Step 2: Convert to fraction form
    394.76/591.96 = 333.09/x
  3. Step 3: Cross multiply
    394.76x = 591.96 × 333.09
  4. Step 4: Simplify right side
    394.76x = 197,175.96
  5. Step 5: Solve for x
    x = 197,175.96/394.76
  6. Step 6: Final answer
    x = 499.49

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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.