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Finding the Fourth Proportional to 494.12, 681.86 and 273.04

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Solution

The fourth proportional to 494.12, 681.86 and 273.04 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 681.86 = 273.04 : x
  2. Step 2: Convert to fraction form
    494.12/681.86 = 273.04/x
  3. Step 3: Cross multiply
    494.12x = 681.86 × 273.04
  4. Step 4: Simplify right side
    494.12x = 186,175.05
  5. Step 5: Solve for x
    x = 186,175.05/494.12
  6. Step 6: Final answer
    x = 376.78

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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.