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Finding the Fourth Proportional to 494.54, 682.52 and 273.51

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Solution

The fourth proportional to 494.54, 682.52 and 273.51 is: 377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.54 : 682.52 = 273.51 : x
  2. Step 2: Convert to fraction form
    494.54/682.52 = 273.51/x
  3. Step 3: Cross multiply
    494.54x = 682.52 × 273.51
  4. Step 4: Simplify right side
    494.54x = 186,672.97
  5. Step 5: Solve for x
    x = 186,672.97/494.54
  6. Step 6: Final answer
    x = 377.47

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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.