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Finding the Fourth Proportional to 168.24, 233.40 and 163.80

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Solution

The fourth proportional to 168.24, 233.40 and 163.80 is: 227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.24 : 233.40 = 163.80 : x
  2. Step 2: Convert to fraction form
    168.24/233.40 = 163.80/x
  3. Step 3: Cross multiply
    168.24x = 233.40 × 163.80
  4. Step 4: Simplify right side
    168.24x = 38,230.92
  5. Step 5: Solve for x
    x = 38,230.92/168.24
  6. Step 6: Final answer
    x = 227.24

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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.