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Finding the Fourth Proportional to 335.92, 506.96 and 327.28

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Solution

The fourth proportional to 335.92, 506.96 and 327.28 is: 493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.92 : 506.96 = 327.28 : x
  2. Step 2: Convert to fraction form
    335.92/506.96 = 327.28/x
  3. Step 3: Cross multiply
    335.92x = 506.96 × 327.28
  4. Step 4: Simplify right side
    335.92x = 165,917.87
  5. Step 5: Solve for x
    x = 165,917.87/335.92
  6. Step 6: Final answer
    x = 493.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.