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Finding the Fourth Proportional to 169.05, 231.45 and 168.47

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Solution

The fourth proportional to 169.05, 231.45 and 168.47 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.05 : 231.45 = 168.47 : x
  2. Step 2: Convert to fraction form
    169.05/231.45 = 168.47/x
  3. Step 3: Cross multiply
    169.05x = 231.45 × 168.47
  4. Step 4: Simplify right side
    169.05x = 38,992.38
  5. Step 5: Solve for x
    x = 38,992.38/169.05
  6. Step 6: Final answer
    x = 230.66

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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.