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Finding the Fourth Proportional to 168.65, 234.35 and 166.98

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Solution

The fourth proportional to 168.65, 234.35 and 166.98 is: 232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.65 : 234.35 = 166.98 : x
  2. Step 2: Convert to fraction form
    168.65/234.35 = 166.98/x
  3. Step 3: Cross multiply
    168.65x = 234.35 × 166.98
  4. Step 4: Simplify right side
    168.65x = 39,131.76
  5. Step 5: Solve for x
    x = 39,131.76/168.65
  6. Step 6: Final answer
    x = 232.03

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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.