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Finding the Fourth Proportional to 168.49, 231.01 and 168.22

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Solution

The fourth proportional to 168.49, 231.01 and 168.22 is: 230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 231.01 = 168.22 : x
  2. Step 2: Convert to fraction form
    168.49/231.01 = 168.22/x
  3. Step 3: Cross multiply
    168.49x = 231.01 × 168.22
  4. Step 4: Simplify right side
    168.49x = 38,860.50
  5. Step 5: Solve for x
    x = 38,860.50/168.49
  6. Step 6: Final answer
    x = 230.64

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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.