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Finding the Fourth Proportional to 398.10, 593.39 and 378.61

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Solution

The fourth proportional to 398.10, 593.39 and 378.61 is: 564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.10 : 593.39 = 378.61 : x
  2. Step 2: Convert to fraction form
    398.10/593.39 = 378.61/x
  3. Step 3: Cross multiply
    398.10x = 593.39 × 378.61
  4. Step 4: Simplify right side
    398.10x = 224,662.85
  5. Step 5: Solve for x
    x = 224,662.85/398.10
  6. Step 6: Final answer
    x = 564.33

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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.