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Finding the Fourth Proportional to 338.72, 467.50 and 198.86

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Solution

The fourth proportional to 338.72, 467.50 and 198.86 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 467.50 = 198.86 : x
  2. Step 2: Convert to fraction form
    338.72/467.50 = 198.86/x
  3. Step 3: Cross multiply
    338.72x = 467.50 × 198.86
  4. Step 4: Simplify right side
    338.72x = 92,967.05
  5. Step 5: Solve for x
    x = 92,967.05/338.72
  6. Step 6: Final answer
    x = 274.47

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