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Finding the Fourth Proportional to 325.44, 449.56 and 301.12

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Solution

The fourth proportional to 325.44, 449.56 and 301.12 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 449.56 = 301.12 : x
  2. Step 2: Convert to fraction form
    325.44/449.56 = 301.12/x
  3. Step 3: Cross multiply
    325.44x = 449.56 × 301.12
  4. Step 4: Simplify right side
    325.44x = 135,371.51
  5. Step 5: Solve for x
    x = 135,371.51/325.44
  6. Step 6: Final answer
    x = 415.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.