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Finding the Fourth Proportional to 282.94, 423.58 and 185.21

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Solution

The fourth proportional to 282.94, 423.58 and 185.21 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.94 : 423.58 = 185.21 : x
  2. Step 2: Convert to fraction form
    282.94/423.58 = 185.21/x
  3. Step 3: Cross multiply
    282.94x = 423.58 × 185.21
  4. Step 4: Simplify right side
    282.94x = 78,451.80
  5. Step 5: Solve for x
    x = 78,451.80/282.94
  6. Step 6: Final answer
    x = 277.27

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