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Finding the Fourth Proportional to 361, 498.20 and 205.75

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Solution

The fourth proportional to 361, 498.20 and 205.75 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361 : 498.20 = 205.75 : x
  2. Step 2: Convert to fraction form
    361/498.20 = 205.75/x
  3. Step 3: Cross multiply
    361x = 498.20 × 205.75
  4. Step 4: Simplify right side
    361x = 102,504.65
  5. Step 5: Solve for x
    x = 102,504.65/361
  6. Step 6: Final answer
    x = 283.95

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