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Finding the Fourth Proportional to 284, 391.76 and 196.64

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Solution

The fourth proportional to 284, 391.76 and 196.64 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 391.76 = 196.64 : x
  2. Step 2: Convert to fraction form
    284/391.76 = 196.64/x
  3. Step 3: Cross multiply
    284x = 391.76 × 196.64
  4. Step 4: Simplify right side
    284x = 77,035.69
  5. Step 5: Solve for x
    x = 77,035.69/284
  6. Step 6: Final answer
    x = 271.25

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