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Finding the Fourth Proportional to 449.85, 674.87 and 206.45

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Solution

The fourth proportional to 449.85, 674.87 and 206.45 is: 309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.85 : 674.87 = 206.45 : x
  2. Step 2: Convert to fraction form
    449.85/674.87 = 206.45/x
  3. Step 3: Cross multiply
    449.85x = 674.87 × 206.45
  4. Step 4: Simplify right side
    449.85x = 139,322.50
  5. Step 5: Solve for x
    x = 139,322.50/449.85
  6. Step 6: Final answer
    x = 309.71

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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.