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Finding the Fourth Proportional to 395.74, 593.70 and 213.09

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Solution

The fourth proportional to 395.74, 593.70 and 213.09 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.74 : 593.70 = 213.09 : x
  2. Step 2: Convert to fraction form
    395.74/593.70 = 213.09/x
  3. Step 3: Cross multiply
    395.74x = 593.70 × 213.09
  4. Step 4: Simplify right side
    395.74x = 126,511.53
  5. Step 5: Solve for x
    x = 126,511.53/395.74
  6. Step 6: Final answer
    x = 319.68

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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.