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Finding the Fourth Proportional to 278.97, 417.78 and 141.84

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Solution

The fourth proportional to 278.97, 417.78 and 141.84 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 417.78 = 141.84 : x
  2. Step 2: Convert to fraction form
    278.97/417.78 = 141.84/x
  3. Step 3: Cross multiply
    278.97x = 417.78 × 141.84
  4. Step 4: Simplify right side
    278.97x = 59,257.92
  5. Step 5: Solve for x
    x = 59,257.92/278.97
  6. Step 6: Final answer
    x = 212.42

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