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Finding the Fourth Proportional to 278.90, 417.81 and 214.64

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Solution

The fourth proportional to 278.90, 417.81 and 214.64 is: 321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 417.81 = 214.64 : x
  2. Step 2: Convert to fraction form
    278.90/417.81 = 214.64/x
  3. Step 3: Cross multiply
    278.90x = 417.81 × 214.64
  4. Step 4: Simplify right side
    278.90x = 89,680.59
  5. Step 5: Solve for x
    x = 89,680.59/278.90
  6. Step 6: Final answer
    x = 321.55

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