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Finding the Fourth Proportional to 398.29, 594.41 and 382.41

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Solution

The fourth proportional to 398.29, 594.41 and 382.41 is: 570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.29 : 594.41 = 382.41 : x
  2. Step 2: Convert to fraction form
    398.29/594.41 = 382.41/x
  3. Step 3: Cross multiply
    398.29x = 594.41 × 382.41
  4. Step 4: Simplify right side
    398.29x = 227,308.33
  5. Step 5: Solve for x
    x = 227,308.33/398.29
  6. Step 6: Final answer
    x = 570.71

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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.