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Finding the Fourth Proportional to 400.18, 552.31 and 299.74

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Solution

The fourth proportional to 400.18, 552.31 and 299.74 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.18 : 552.31 = 299.74 : x
  2. Step 2: Convert to fraction form
    400.18/552.31 = 299.74/x
  3. Step 3: Cross multiply
    400.18x = 552.31 × 299.74
  4. Step 4: Simplify right side
    400.18x = 165,546.64
  5. Step 5: Solve for x
    x = 165,546.64/400.18
  6. Step 6: Final answer
    x = 413.69

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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.