Home / 231.20-319.09-157.85

Finding the Fourth Proportional to 231.20, 319.09 and 157.85

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Solution

The fourth proportional to 231.20, 319.09 and 157.85 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 319.09 = 157.85 : x
  2. Step 2: Convert to fraction form
    231.20/319.09 = 157.85/x
  3. Step 3: Cross multiply
    231.20x = 319.09 × 157.85
  4. Step 4: Simplify right side
    231.20x = 50,367.86
  5. Step 5: Solve for x
    x = 50,367.86/231.20
  6. Step 6: Final answer
    x = 217.85

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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.