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Finding the Fourth Proportional to 367.56, 506.88 and 280.08

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Solution

The fourth proportional to 367.56, 506.88 and 280.08 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.56 : 506.88 = 280.08 : x
  2. Step 2: Convert to fraction form
    367.56/506.88 = 280.08/x
  3. Step 3: Cross multiply
    367.56x = 506.88 × 280.08
  4. Step 4: Simplify right side
    367.56x = 141,966.95
  5. Step 5: Solve for x
    x = 141,966.95/367.56
  6. Step 6: Final answer
    x = 386.24

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