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Finding the Fourth Proportional to 395.78, 590.73 and 349.65

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Solution

The fourth proportional to 395.78, 590.73 and 349.65 is: 521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 590.73 = 349.65 : x
  2. Step 2: Convert to fraction form
    395.78/590.73 = 349.65/x
  3. Step 3: Cross multiply
    395.78x = 590.73 × 349.65
  4. Step 4: Simplify right side
    395.78x = 206,548.74
  5. Step 5: Solve for x
    x = 206,548.74/395.78
  6. Step 6: Final answer
    x = 521.88

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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.