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Finding the Fourth Proportional to 299.44, 448.09 and 217.27

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Solution

The fourth proportional to 299.44, 448.09 and 217.27 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.44 : 448.09 = 217.27 : x
  2. Step 2: Convert to fraction form
    299.44/448.09 = 217.27/x
  3. Step 3: Cross multiply
    299.44x = 448.09 × 217.27
  4. Step 4: Simplify right side
    299.44x = 97,356.51
  5. Step 5: Solve for x
    x = 97,356.51/299.44
  6. Step 6: Final answer
    x = 325.13

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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.