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Finding the Fourth Proportional to 282.81, 424.15 and 109.41

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Solution

The fourth proportional to 282.81, 424.15 and 109.41 is: 164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.81 : 424.15 = 109.41 : x
  2. Step 2: Convert to fraction form
    282.81/424.15 = 109.41/x
  3. Step 3: Cross multiply
    282.81x = 424.15 × 109.41
  4. Step 4: Simplify right side
    282.81x = 46,405.70
  5. Step 5: Solve for x
    x = 46,405.70/282.81
  6. Step 6: Final answer
    x = 164.09

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