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Finding the Fourth Proportional to 494.48, 682.33 and 273.42

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Solution

The fourth proportional to 494.48, 682.33 and 273.42 is: 377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.33 = 273.42 : x
  2. Step 2: Convert to fraction form
    494.48/682.33 = 273.42/x
  3. Step 3: Cross multiply
    494.48x = 682.33 × 273.42
  4. Step 4: Simplify right side
    494.48x = 186,562.67
  5. Step 5: Solve for x
    x = 186,562.67/494.48
  6. Step 6: Final answer
    x = 377.29

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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.