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Finding the Fourth Proportional to 418.05, 574.49 and 399.03

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Solution

The fourth proportional to 418.05, 574.49 and 399.03 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 574.49 = 399.03 : x
  2. Step 2: Convert to fraction form
    418.05/574.49 = 399.03/x
  3. Step 3: Cross multiply
    418.05x = 574.49 × 399.03
  4. Step 4: Simplify right side
    418.05x = 229,236.75
  5. Step 5: Solve for x
    x = 229,236.75/418.05
  6. Step 6: Final answer
    x = 548.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.