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Finding the Fourth Proportional to 449.21, 619.70 and 299.69

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Solution

The fourth proportional to 449.21, 619.70 and 299.69 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.21 : 619.70 = 299.69 : x
  2. Step 2: Convert to fraction form
    449.21/619.70 = 299.69/x
  3. Step 3: Cross multiply
    449.21x = 619.70 × 299.69
  4. Step 4: Simplify right side
    449.21x = 185,716.11
  5. Step 5: Solve for x
    x = 185,716.11/449.21
  6. Step 6: Final answer
    x = 413.43

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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.