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Finding the Fourth Proportional to 325.12, 447.96 and 251.28

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Solution

The fourth proportional to 325.12, 447.96 and 251.28 is: 346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 447.96 = 251.28 : x
  2. Step 2: Convert to fraction form
    325.12/447.96 = 251.28/x
  3. Step 3: Cross multiply
    325.12x = 447.96 × 251.28
  4. Step 4: Simplify right side
    325.12x = 112,563.39
  5. Step 5: Solve for x
    x = 112,563.39/325.12
  6. Step 6: Final answer
    x = 346.22

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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.