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Finding the Fourth Proportional to 168.81, 253.43 and 163.34

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Solution

The fourth proportional to 168.81, 253.43 and 163.34 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 253.43 = 163.34 : x
  2. Step 2: Convert to fraction form
    168.81/253.43 = 163.34/x
  3. Step 3: Cross multiply
    168.81x = 253.43 × 163.34
  4. Step 4: Simplify right side
    168.81x = 41,395.26
  5. Step 5: Solve for x
    x = 41,395.26/168.81
  6. Step 6: Final answer
    x = 245.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.