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Finding the Fourth Proportional to 168.95, 231.63 and 165.87

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Solution

The fourth proportional to 168.95, 231.63 and 165.87 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 231.63 = 165.87 : x
  2. Step 2: Convert to fraction form
    168.95/231.63 = 165.87/x
  3. Step 3: Cross multiply
    168.95x = 231.63 × 165.87
  4. Step 4: Simplify right side
    168.95x = 38,420.47
  5. Step 5: Solve for x
    x = 38,420.47/168.95
  6. Step 6: Final answer
    x = 227.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.