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Finding the Fourth Proportional to 538.10, 806.68 and 321.22

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Solution

The fourth proportional to 538.10, 806.68 and 321.22 is: 481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.10 : 806.68 = 321.22 : x
  2. Step 2: Convert to fraction form
    538.10/806.68 = 321.22/x
  3. Step 3: Cross multiply
    538.10x = 806.68 × 321.22
  4. Step 4: Simplify right side
    538.10x = 259,121.75
  5. Step 5: Solve for x
    x = 259,121.75/538.10
  6. Step 6: Final answer
    x = 481.55

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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.