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Finding the Fourth Proportional to 299.72, 448.92 and 218.38

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Solution

The fourth proportional to 299.72, 448.92 and 218.38 is: 327.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 448.92 = 218.38 : x
  2. Step 2: Convert to fraction form
    299.72/448.92 = 218.38/x
  3. Step 3: Cross multiply
    299.72x = 448.92 × 218.38
  4. Step 4: Simplify right side
    299.72x = 98,035.15
  5. Step 5: Solve for x
    x = 98,035.15/299.72
  6. Step 6: Final answer
    x = 327.09

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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.