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Finding the Fourth Proportional to 398.33, 594.18 and 333.74

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Solution

The fourth proportional to 398.33, 594.18 and 333.74 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.33 : 594.18 = 333.74 : x
  2. Step 2: Convert to fraction form
    398.33/594.18 = 333.74/x
  3. Step 3: Cross multiply
    398.33x = 594.18 × 333.74
  4. Step 4: Simplify right side
    398.33x = 198,299.96
  5. Step 5: Solve for x
    x = 198,299.96/398.33
  6. Step 6: Final answer
    x = 497.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.