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Finding the Fourth Proportional to 364.28, 546.42 and 256.96

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Solution

The fourth proportional to 364.28, 546.42 and 256.96 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 546.42 = 256.96 : x
  2. Step 2: Convert to fraction form
    364.28/546.42 = 256.96/x
  3. Step 3: Cross multiply
    364.28x = 546.42 × 256.96
  4. Step 4: Simplify right side
    364.28x = 140,405.35
  5. Step 5: Solve for x
    x = 140,405.35/364.28
  6. Step 6: Final answer
    x = 385.43

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