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Finding the Fourth Proportional to 494.41, 682.20 and 273.34

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Solution

The fourth proportional to 494.41, 682.20 and 273.34 is: 377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.41 : 682.20 = 273.34 : x
  2. Step 2: Convert to fraction form
    494.41/682.20 = 273.34/x
  3. Step 3: Cross multiply
    494.41x = 682.20 × 273.34
  4. Step 4: Simplify right side
    494.41x = 186,471.48
  5. Step 5: Solve for x
    x = 186,471.48/494.41
  6. Step 6: Final answer
    x = 377.16

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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.