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Finding the Fourth Proportional to 168.81, 250.91 and 164.27

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Solution

The fourth proportional to 168.81, 250.91 and 164.27 is: 244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 250.91 = 164.27 : x
  2. Step 2: Convert to fraction form
    168.81/250.91 = 164.27/x
  3. Step 3: Cross multiply
    168.81x = 250.91 × 164.27
  4. Step 4: Simplify right side
    168.81x = 41,214.91
  5. Step 5: Solve for x
    x = 41,214.91/168.81
  6. Step 6: Final answer
    x = 244.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.