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Finding the Fourth Proportional to 363.92, 502.21 and 206.56

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Solution

The fourth proportional to 363.92, 502.21 and 206.56 is: 285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 502.21 = 206.56 : x
  2. Step 2: Convert to fraction form
    363.92/502.21 = 206.56/x
  3. Step 3: Cross multiply
    363.92x = 502.21 × 206.56
  4. Step 4: Simplify right side
    363.92x = 103,736.50
  5. Step 5: Solve for x
    x = 103,736.50/363.92
  6. Step 6: Final answer
    x = 285.05

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