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Finding the Fourth Proportional to 169.05, 231.91 and 158.57

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Solution

The fourth proportional to 169.05, 231.91 and 158.57 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.05 : 231.91 = 158.57 : x
  2. Step 2: Convert to fraction form
    169.05/231.91 = 158.57/x
  3. Step 3: Cross multiply
    169.05x = 231.91 × 158.57
  4. Step 4: Simplify right side
    169.05x = 36,774.75
  5. Step 5: Solve for x
    x = 36,774.75/169.05
  6. Step 6: Final answer
    x = 217.54

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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.