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Finding the Fourth Proportional to 494.20, 682.01 and 273.16

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Solution

The fourth proportional to 494.20, 682.01 and 273.16 is: 376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 682.01 = 273.16 : x
  2. Step 2: Convert to fraction form
    494.20/682.01 = 273.16/x
  3. Step 3: Cross multiply
    494.20x = 682.01 × 273.16
  4. Step 4: Simplify right side
    494.20x = 186,297.34
  5. Step 5: Solve for x
    x = 186,297.34/494.20
  6. Step 6: Final answer
    x = 376.97

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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.