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Finding the Fourth Proportional to 214, 321.08 and 85.76

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Solution

The fourth proportional to 214, 321.08 and 85.76 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214 : 321.08 = 85.76 : x
  2. Step 2: Convert to fraction form
    214/321.08 = 85.76/x
  3. Step 3: Cross multiply
    214x = 321.08 × 85.76
  4. Step 4: Simplify right side
    214x = 27,535.82
  5. Step 5: Solve for x
    x = 27,535.82/214
  6. Step 6: Final answer
    x = 128.67

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