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Finding the Fourth Proportional to 494.07, 681.81 and 273.03

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Solution

The fourth proportional to 494.07, 681.81 and 273.03 is: 376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 681.81 = 273.03 : x
  2. Step 2: Convert to fraction form
    494.07/681.81 = 273.03/x
  3. Step 3: Cross multiply
    494.07x = 681.81 × 273.03
  4. Step 4: Simplify right side
    494.07x = 186,153.56
  5. Step 5: Solve for x
    x = 186,153.56/494.07
  6. Step 6: Final answer
    x = 376.77

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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.