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Finding the Fourth Proportional to 338.22, 506.79 and 229.77

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Solution

The fourth proportional to 338.22, 506.79 and 229.77 is: 344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 506.79 = 229.77 : x
  2. Step 2: Convert to fraction form
    338.22/506.79 = 229.77/x
  3. Step 3: Cross multiply
    338.22x = 506.79 × 229.77
  4. Step 4: Simplify right side
    338.22x = 116,445.14
  5. Step 5: Solve for x
    x = 116,445.14/338.22
  6. Step 6: Final answer
    x = 344.29

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