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Finding the Fourth Proportional to 399.28, 551.09 and 252.11

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Solution

The fourth proportional to 399.28, 551.09 and 252.11 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.28 : 551.09 = 252.11 : x
  2. Step 2: Convert to fraction form
    399.28/551.09 = 252.11/x
  3. Step 3: Cross multiply
    399.28x = 551.09 × 252.11
  4. Step 4: Simplify right side
    399.28x = 138,931.28
  5. Step 5: Solve for x
    x = 138,931.28/399.28
  6. Step 6: Final answer
    x = 347.96

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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.