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Finding the Fourth Proportional to 401.28, 602.16 and 256.80

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Solution

The fourth proportional to 401.28, 602.16 and 256.80 is: 385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.28 : 602.16 = 256.80 : x
  2. Step 2: Convert to fraction form
    401.28/602.16 = 256.80/x
  3. Step 3: Cross multiply
    401.28x = 602.16 × 256.80
  4. Step 4: Simplify right side
    401.28x = 154,634.69
  5. Step 5: Solve for x
    x = 154,634.69/401.28
  6. Step 6: Final answer
    x = 385.35

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