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Finding the Fourth Proportional to 168.95, 234.22 and 160.16

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Solution

The fourth proportional to 168.95, 234.22 and 160.16 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 234.22 = 160.16 : x
  2. Step 2: Convert to fraction form
    168.95/234.22 = 160.16/x
  3. Step 3: Cross multiply
    168.95x = 234.22 × 160.16
  4. Step 4: Simplify right side
    168.95x = 37,512.86
  5. Step 5: Solve for x
    x = 37,512.86/168.95
  6. Step 6: Final answer
    x = 222.04

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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.