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Finding the Fourth Proportional to 213.23, 321.78 and 205.99

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Solution

The fourth proportional to 213.23, 321.78 and 205.99 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 321.78 = 205.99 : x
  2. Step 2: Convert to fraction form
    213.23/321.78 = 205.99/x
  3. Step 3: Cross multiply
    213.23x = 321.78 × 205.99
  4. Step 4: Simplify right side
    213.23x = 66,283.46
  5. Step 5: Solve for x
    x = 66,283.46/213.23
  6. Step 6: Final answer
    x = 310.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.