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Finding the Fourth Proportional to 256, 383.96 and 73.38

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Solution

The fourth proportional to 256, 383.96 and 73.38 is: 110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 383.96 = 73.38 : x
  2. Step 2: Convert to fraction form
    256/383.96 = 73.38/x
  3. Step 3: Cross multiply
    256x = 383.96 × 73.38
  4. Step 4: Simplify right side
    256x = 28,174.98
  5. Step 5: Solve for x
    x = 28,174.98/256
  6. Step 6: Final answer
    x = 110.06

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