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Finding the Fourth Proportional to 168.96, 255 and 164.64

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Solution

The fourth proportional to 168.96, 255 and 164.64 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 255 = 164.64 : x
  2. Step 2: Convert to fraction form
    168.96/255 = 164.64/x
  3. Step 3: Cross multiply
    168.96x = 255 × 164.64
  4. Step 4: Simplify right side
    168.96x = 41,983.20
  5. Step 5: Solve for x
    x = 41,983.20/168.96
  6. Step 6: Final answer
    x = 248.48

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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.