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Finding the Fourth Proportional to 168.45, 253.04 and 162.38

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Solution

The fourth proportional to 168.45, 253.04 and 162.38 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.45 : 253.04 = 162.38 : x
  2. Step 2: Convert to fraction form
    168.45/253.04 = 162.38/x
  3. Step 3: Cross multiply
    168.45x = 253.04 × 162.38
  4. Step 4: Simplify right side
    168.45x = 41,086.56
  5. Step 5: Solve for x
    x = 41,086.56/168.45
  6. Step 6: Final answer
    x = 243.91

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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.