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Finding the Fourth Proportional to 538.54, 807.38 and 264.45

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Solution

The fourth proportional to 538.54, 807.38 and 264.45 is: 396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.54 : 807.38 = 264.45 : x
  2. Step 2: Convert to fraction form
    538.54/807.38 = 264.45/x
  3. Step 3: Cross multiply
    538.54x = 807.38 × 264.45
  4. Step 4: Simplify right side
    538.54x = 213,511.64
  5. Step 5: Solve for x
    x = 213,511.64/538.54
  6. Step 6: Final answer
    x = 396.46

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