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Finding the Fourth Proportional to 168.88, 234.19 and 164.44

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Solution

The fourth proportional to 168.88, 234.19 and 164.44 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 234.19 = 164.44 : x
  2. Step 2: Convert to fraction form
    168.88/234.19 = 164.44/x
  3. Step 3: Cross multiply
    168.88x = 234.19 × 164.44
  4. Step 4: Simplify right side
    168.88x = 38,510.20
  5. Step 5: Solve for x
    x = 38,510.20/168.88
  6. Step 6: Final answer
    x = 228.03

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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.