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Finding the Fourth Proportional to 327.80, 452.43 and 253.89

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Solution

The fourth proportional to 327.80, 452.43 and 253.89 is: 350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 452.43 = 253.89 : x
  2. Step 2: Convert to fraction form
    327.80/452.43 = 253.89/x
  3. Step 3: Cross multiply
    327.80x = 452.43 × 253.89
  4. Step 4: Simplify right side
    327.80x = 114,867.45
  5. Step 5: Solve for x
    x = 114,867.45/327.80
  6. Step 6: Final answer
    x = 350.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.