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Finding the Fourth Proportional to 496.42, 684.90 and 299.98

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Solution

The fourth proportional to 496.42, 684.90 and 299.98 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 684.90 = 299.98 : x
  2. Step 2: Convert to fraction form
    496.42/684.90 = 299.98/x
  3. Step 3: Cross multiply
    496.42x = 684.90 × 299.98
  4. Step 4: Simplify right side
    496.42x = 205,456.30
  5. Step 5: Solve for x
    x = 205,456.30/496.42
  6. Step 6: Final answer
    x = 413.88

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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.