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Finding the Fourth Proportional to 168.46, 233.65 and 162.31

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Solution

The fourth proportional to 168.46, 233.65 and 162.31 is: 225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 233.65 = 162.31 : x
  2. Step 2: Convert to fraction form
    168.46/233.65 = 162.31/x
  3. Step 3: Cross multiply
    168.46x = 233.65 × 162.31
  4. Step 4: Simplify right side
    168.46x = 37,922.56
  5. Step 5: Solve for x
    x = 37,922.56/168.46
  6. Step 6: Final answer
    x = 225.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.