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Finding the Fourth Proportional to 494.83, 682.87 and 273.77

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Solution

The fourth proportional to 494.83, 682.87 and 273.77 is: 377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.83 : 682.87 = 273.77 : x
  2. Step 2: Convert to fraction form
    494.83/682.87 = 273.77/x
  3. Step 3: Cross multiply
    494.83x = 682.87 × 273.77
  4. Step 4: Simplify right side
    494.83x = 186,945.91
  5. Step 5: Solve for x
    x = 186,945.91/494.83
  6. Step 6: Final answer
    x = 377.80

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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.