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Finding the Fourth Proportional to 278.82, 417.60 and 261

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Solution

The fourth proportional to 278.82, 417.60 and 261 is: 390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 417.60 = 261 : x
  2. Step 2: Convert to fraction form
    278.82/417.60 = 261/x
  3. Step 3: Cross multiply
    278.82x = 417.60 × 261
  4. Step 4: Simplify right side
    278.82x = 108,993.60
  5. Step 5: Solve for x
    x = 108,993.60/278.82
  6. Step 6: Final answer
    x = 390.91

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