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Finding the Fourth Proportional to 494.22, 682.18 and 319.56

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Solution

The fourth proportional to 494.22, 682.18 and 319.56 is: 441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.22 : 682.18 = 319.56 : x
  2. Step 2: Convert to fraction form
    494.22/682.18 = 319.56/x
  3. Step 3: Cross multiply
    494.22x = 682.18 × 319.56
  4. Step 4: Simplify right side
    494.22x = 217,997.44
  5. Step 5: Solve for x
    x = 217,997.44/494.22
  6. Step 6: Final answer
    x = 441.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.