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Finding the Fourth Proportional to 395.88, 593.55 and 213.09

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Solution

The fourth proportional to 395.88, 593.55 and 213.09 is: 319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.88 : 593.55 = 213.09 : x
  2. Step 2: Convert to fraction form
    395.88/593.55 = 213.09/x
  3. Step 3: Cross multiply
    395.88x = 593.55 × 213.09
  4. Step 4: Simplify right side
    395.88x = 126,479.57
  5. Step 5: Solve for x
    x = 126,479.57/395.88
  6. Step 6: Final answer
    x = 319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.