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Finding the Fourth Proportional to 231.27, 319.40 and 157.78

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Solution

The fourth proportional to 231.27, 319.40 and 157.78 is: 217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.27 : 319.40 = 157.78 : x
  2. Step 2: Convert to fraction form
    231.27/319.40 = 157.78/x
  3. Step 3: Cross multiply
    231.27x = 319.40 × 157.78
  4. Step 4: Simplify right side
    231.27x = 50,394.93
  5. Step 5: Solve for x
    x = 50,394.93/231.27
  6. Step 6: Final answer
    x = 217.91

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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.