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Finding the Fourth Proportional to 171.23, 234.23 and 170.69

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Solution

The fourth proportional to 171.23, 234.23 and 170.69 is: 233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 234.23 = 170.69 : x
  2. Step 2: Convert to fraction form
    171.23/234.23 = 170.69/x
  3. Step 3: Cross multiply
    171.23x = 234.23 × 170.69
  4. Step 4: Simplify right side
    171.23x = 39,978.69
  5. Step 5: Solve for x
    x = 39,978.69/171.23
  6. Step 6: Final answer
    x = 233.49

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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.