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Finding the Fourth Proportional to 206.75, 284.61 and 178.96

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Solution

The fourth proportional to 206.75, 284.61 and 178.96 is: 246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 284.61 = 178.96 : x
  2. Step 2: Convert to fraction form
    206.75/284.61 = 178.96/x
  3. Step 3: Cross multiply
    206.75x = 284.61 × 178.96
  4. Step 4: Simplify right side
    206.75x = 50,934.30
  5. Step 5: Solve for x
    x = 50,934.30/206.75
  6. Step 6: Final answer
    x = 246.35

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