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Finding the Fourth Proportional to 398.44, 593.97 and 380.20

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Solution

The fourth proportional to 398.44, 593.97 and 380.20 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.44 : 593.97 = 380.20 : x
  2. Step 2: Convert to fraction form
    398.44/593.97 = 380.20/x
  3. Step 3: Cross multiply
    398.44x = 593.97 × 380.20
  4. Step 4: Simplify right side
    398.44x = 225,827.39
  5. Step 5: Solve for x
    x = 225,827.39/398.44
  6. Step 6: Final answer
    x = 566.78

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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.