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Finding the Fourth Proportional to 494.30, 682.17 and 273.27

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Solution

The fourth proportional to 494.30, 682.17 and 273.27 is: 377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.30 : 682.17 = 273.27 : x
  2. Step 2: Convert to fraction form
    494.30/682.17 = 273.27/x
  3. Step 3: Cross multiply
    494.30x = 682.17 × 273.27
  4. Step 4: Simplify right side
    494.30x = 186,419.67
  5. Step 5: Solve for x
    x = 186,419.67/494.30
  6. Step 6: Final answer
    x = 377.14

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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.