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Finding the Fourth Proportional to 395.74, 594.17 and 213.78

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Solution

The fourth proportional to 395.74, 594.17 and 213.78 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.74 : 594.17 = 213.78 : x
  2. Step 2: Convert to fraction form
    395.74/594.17 = 213.78/x
  3. Step 3: Cross multiply
    395.74x = 594.17 × 213.78
  4. Step 4: Simplify right side
    395.74x = 127,021.66
  5. Step 5: Solve for x
    x = 127,021.66/395.74
  6. Step 6: Final answer
    x = 320.97

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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.