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Finding the Fourth Proportional to 449.51, 673.49 and 218.08

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Solution

The fourth proportional to 449.51, 673.49 and 218.08 is: 326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.51 : 673.49 = 218.08 : x
  2. Step 2: Convert to fraction form
    449.51/673.49 = 218.08/x
  3. Step 3: Cross multiply
    449.51x = 673.49 × 218.08
  4. Step 4: Simplify right side
    449.51x = 146,874.70
  5. Step 5: Solve for x
    x = 146,874.70/449.51
  6. Step 6: Final answer
    x = 326.74

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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.