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Finding the Fourth Proportional to 171.56, 235.12 and 169.04

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Solution

The fourth proportional to 171.56, 235.12 and 169.04 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.56 : 235.12 = 169.04 : x
  2. Step 2: Convert to fraction form
    171.56/235.12 = 169.04/x
  3. Step 3: Cross multiply
    171.56x = 235.12 × 169.04
  4. Step 4: Simplify right side
    171.56x = 39,744.68
  5. Step 5: Solve for x
    x = 39,744.68/171.56
  6. Step 6: Final answer
    x = 231.67

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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.