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Finding the Fourth Proportional to 428.24, 641.76 and 312

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Solution

The fourth proportional to 428.24, 641.76 and 312 is: 467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 641.76 = 312 : x
  2. Step 2: Convert to fraction form
    428.24/641.76 = 312/x
  3. Step 3: Cross multiply
    428.24x = 641.76 × 312
  4. Step 4: Simplify right side
    428.24x = 200,229.12
  5. Step 5: Solve for x
    x = 200,229.12/428.24
  6. Step 6: Final answer
    x = 467.56

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