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Finding the Fourth Proportional to 231.54, 319.11 and 169.27

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Solution

The fourth proportional to 231.54, 319.11 and 169.27 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.54 : 319.11 = 169.27 : x
  2. Step 2: Convert to fraction form
    231.54/319.11 = 169.27/x
  3. Step 3: Cross multiply
    231.54x = 319.11 × 169.27
  4. Step 4: Simplify right side
    231.54x = 54,017.54
  5. Step 5: Solve for x
    x = 54,017.54/231.54
  6. Step 6: Final answer
    x = 233.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.