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Finding the Fourth Proportional to 168.96, 252.12 and 165.60

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Solution

The fourth proportional to 168.96, 252.12 and 165.60 is: 247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 252.12 = 165.60 : x
  2. Step 2: Convert to fraction form
    168.96/252.12 = 165.60/x
  3. Step 3: Cross multiply
    168.96x = 252.12 × 165.60
  4. Step 4: Simplify right side
    168.96x = 41,751.07
  5. Step 5: Solve for x
    x = 41,751.07/168.96
  6. Step 6: Final answer
    x = 247.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.