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Finding the Fourth Proportional to 168.94, 252.13 and 164.62

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Solution

The fourth proportional to 168.94, 252.13 and 164.62 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.94 : 252.13 = 164.62 : x
  2. Step 2: Convert to fraction form
    168.94/252.13 = 164.62/x
  3. Step 3: Cross multiply
    168.94x = 252.13 × 164.62
  4. Step 4: Simplify right side
    168.94x = 41,505.64
  5. Step 5: Solve for x
    x = 41,505.64/168.94
  6. Step 6: Final answer
    x = 245.68

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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.