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Finding the Fourth Proportional to 282.22, 423.71 and 189.98

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Solution

The fourth proportional to 282.22, 423.71 and 189.98 is: 285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.22 : 423.71 = 189.98 : x
  2. Step 2: Convert to fraction form
    282.22/423.71 = 189.98/x
  3. Step 3: Cross multiply
    282.22x = 423.71 × 189.98
  4. Step 4: Simplify right side
    282.22x = 80,493.36
  5. Step 5: Solve for x
    x = 80,493.36/282.22
  6. Step 6: Final answer
    x = 285.22

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