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Finding the Fourth Proportional to 415.38, 622.90 and 198.80

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Solution

The fourth proportional to 415.38, 622.90 and 198.80 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.38 : 622.90 = 198.80 : x
  2. Step 2: Convert to fraction form
    415.38/622.90 = 198.80/x
  3. Step 3: Cross multiply
    415.38x = 622.90 × 198.80
  4. Step 4: Simplify right side
    415.38x = 123,832.52
  5. Step 5: Solve for x
    x = 123,832.52/415.38
  6. Step 6: Final answer
    x = 298.12

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