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Finding the Fourth Proportional to 395.38, 590.33 and 349.21

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Solution

The fourth proportional to 395.38, 590.33 and 349.21 is: 521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 590.33 = 349.21 : x
  2. Step 2: Convert to fraction form
    395.38/590.33 = 349.21/x
  3. Step 3: Cross multiply
    395.38x = 590.33 × 349.21
  4. Step 4: Simplify right side
    395.38x = 206,144.44
  5. Step 5: Solve for x
    x = 206,144.44/395.38
  6. Step 6: Final answer
    x = 521.39

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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.