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Finding the Fourth Proportional to 168.71, 254.62 and 164.39

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Solution

The fourth proportional to 168.71, 254.62 and 164.39 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.71 : 254.62 = 164.39 : x
  2. Step 2: Convert to fraction form
    168.71/254.62 = 164.39/x
  3. Step 3: Cross multiply
    168.71x = 254.62 × 164.39
  4. Step 4: Simplify right side
    168.71x = 41,856.98
  5. Step 5: Solve for x
    x = 41,856.98/168.71
  6. Step 6: Final answer
    x = 248.10

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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.