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Finding the Fourth Proportional to 449.81, 674.89 and 199.52

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Solution

The fourth proportional to 449.81, 674.89 and 199.52 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.81 : 674.89 = 199.52 : x
  2. Step 2: Convert to fraction form
    449.81/674.89 = 199.52/x
  3. Step 3: Cross multiply
    449.81x = 674.89 × 199.52
  4. Step 4: Simplify right side
    449.81x = 134,652.71
  5. Step 5: Solve for x
    x = 134,652.71/449.81
  6. Step 6: Final answer
    x = 299.36

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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.