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Finding the Fourth Proportional to 171.45, 238.23 and 169.27

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Solution

The fourth proportional to 171.45, 238.23 and 169.27 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.45 : 238.23 = 169.27 : x
  2. Step 2: Convert to fraction form
    171.45/238.23 = 169.27/x
  3. Step 3: Cross multiply
    171.45x = 238.23 × 169.27
  4. Step 4: Simplify right side
    171.45x = 40,325.94
  5. Step 5: Solve for x
    x = 40,325.94/171.45
  6. Step 6: Final answer
    x = 235.21

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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.