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Finding the Fourth Proportional to 319.95, 480 and 137.36

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Solution

The fourth proportional to 319.95, 480 and 137.36 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 480 = 137.36 : x
  2. Step 2: Convert to fraction form
    319.95/480 = 137.36/x
  3. Step 3: Cross multiply
    319.95x = 480 × 137.36
  4. Step 4: Simplify right side
    319.95x = 65,932.80
  5. Step 5: Solve for x
    x = 65,932.80/319.95
  6. Step 6: Final answer
    x = 206.07

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