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Finding the Fourth Proportional to 399.22, 551.37 and 299.46

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Solution

The fourth proportional to 399.22, 551.37 and 299.46 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.22 : 551.37 = 299.46 : x
  2. Step 2: Convert to fraction form
    399.22/551.37 = 299.46/x
  3. Step 3: Cross multiply
    399.22x = 551.37 × 299.46
  4. Step 4: Simplify right side
    399.22x = 165,113.26
  5. Step 5: Solve for x
    x = 165,113.26/399.22
  6. Step 6: Final answer
    x = 413.59

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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.