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Finding the Fourth Proportional to 399.54, 599.42 and 168.49

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Solution

The fourth proportional to 399.54, 599.42 and 168.49 is: 252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.54 : 599.42 = 168.49 : x
  2. Step 2: Convert to fraction form
    399.54/599.42 = 168.49/x
  3. Step 3: Cross multiply
    399.54x = 599.42 × 168.49
  4. Step 4: Simplify right side
    399.54x = 100,996.28
  5. Step 5: Solve for x
    x = 100,996.28/399.54
  6. Step 6: Final answer
    x = 252.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.