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Finding the Fourth Proportional to 494.42, 682.48 and 319.82

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Solution

The fourth proportional to 494.42, 682.48 and 319.82 is: 441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 682.48 = 319.82 : x
  2. Step 2: Convert to fraction form
    494.42/682.48 = 319.82/x
  3. Step 3: Cross multiply
    494.42x = 682.48 × 319.82
  4. Step 4: Simplify right side
    494.42x = 218,270.75
  5. Step 5: Solve for x
    x = 218,270.75/494.42
  6. Step 6: Final answer
    x = 441.47

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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.