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Finding the Fourth Proportional to 264.78, 397.02 and 120.36

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Solution

The fourth proportional to 264.78, 397.02 and 120.36 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.78 : 397.02 = 120.36 : x
  2. Step 2: Convert to fraction form
    264.78/397.02 = 120.36/x
  3. Step 3: Cross multiply
    264.78x = 397.02 × 120.36
  4. Step 4: Simplify right side
    264.78x = 47,785.33
  5. Step 5: Solve for x
    x = 47,785.33/264.78
  6. Step 6: Final answer
    x = 180.47

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