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Finding the Fourth Proportional to 449.79, 673.11 and 276.41

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Solution

The fourth proportional to 449.79, 673.11 and 276.41 is: 413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.79 : 673.11 = 276.41 : x
  2. Step 2: Convert to fraction form
    449.79/673.11 = 276.41/x
  3. Step 3: Cross multiply
    449.79x = 673.11 × 276.41
  4. Step 4: Simplify right side
    449.79x = 186,050.97
  5. Step 5: Solve for x
    x = 186,050.97/449.79
  6. Step 6: Final answer
    x = 413.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.