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Finding the Fourth Proportional to 428.20, 590.80 and 253.48

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Solution

The fourth proportional to 428.20, 590.80 and 253.48 is: 349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 590.80 = 253.48 : x
  2. Step 2: Convert to fraction form
    428.20/590.80 = 253.48/x
  3. Step 3: Cross multiply
    428.20x = 590.80 × 253.48
  4. Step 4: Simplify right side
    428.20x = 149,755.98
  5. Step 5: Solve for x
    x = 149,755.98/428.20
  6. Step 6: Final answer
    x = 349.73

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