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Finding the Fourth Proportional to 494.38, 682.22 and 273.35

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Solution

The fourth proportional to 494.38, 682.22 and 273.35 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.38 : 682.22 = 273.35 : x
  2. Step 2: Convert to fraction form
    494.38/682.22 = 273.35/x
  3. Step 3: Cross multiply
    494.38x = 682.22 × 273.35
  4. Step 4: Simplify right side
    494.38x = 186,487.23
  5. Step 5: Solve for x
    x = 186,487.23/494.38
  6. Step 6: Final answer
    x = 377.21

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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.