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Finding the Fourth Proportional to 249.76, 344.64 and 146.24

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Solution

The fourth proportional to 249.76, 344.64 and 146.24 is: 201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 344.64 = 146.24 : x
  2. Step 2: Convert to fraction form
    249.76/344.64 = 146.24/x
  3. Step 3: Cross multiply
    249.76x = 344.64 × 146.24
  4. Step 4: Simplify right side
    249.76x = 50,400.15
  5. Step 5: Solve for x
    x = 50,400.15/249.76
  6. Step 6: Final answer
    x = 201.79

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