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Finding the Fourth Proportional to 243.23, 364.80 and 119.78

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Solution

The fourth proportional to 243.23, 364.80 and 119.78 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 364.80 = 119.78 : x
  2. Step 2: Convert to fraction form
    243.23/364.80 = 119.78/x
  3. Step 3: Cross multiply
    243.23x = 364.80 × 119.78
  4. Step 4: Simplify right side
    243.23x = 43,695.74
  5. Step 5: Solve for x
    x = 43,695.74/243.23
  6. Step 6: Final answer
    x = 179.65

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