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Finding the Fourth Proportional to 496.38, 684.96 and 286.56

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Solution

The fourth proportional to 496.38, 684.96 and 286.56 is: 395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 684.96 = 286.56 : x
  2. Step 2: Convert to fraction form
    496.38/684.96 = 286.56/x
  3. Step 3: Cross multiply
    496.38x = 684.96 × 286.56
  4. Step 4: Simplify right side
    496.38x = 196,282.14
  5. Step 5: Solve for x
    x = 196,282.14/496.38
  6. Step 6: Final answer
    x = 395.43

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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.