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Finding the Fourth Proportional to 384.24, 576.44 and 140.78

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Solution

The fourth proportional to 384.24, 576.44 and 140.78 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 576.44 = 140.78 : x
  2. Step 2: Convert to fraction form
    384.24/576.44 = 140.78/x
  3. Step 3: Cross multiply
    384.24x = 576.44 × 140.78
  4. Step 4: Simplify right side
    384.24x = 81,147.64
  5. Step 5: Solve for x
    x = 81,147.64/384.24
  6. Step 6: Final answer
    x = 211.19

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