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Finding the Fourth Proportional to 231.66, 319.67 and 126.74

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Solution

The fourth proportional to 231.66, 319.67 and 126.74 is: 174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 319.67 = 126.74 : x
  2. Step 2: Convert to fraction form
    231.66/319.67 = 126.74/x
  3. Step 3: Cross multiply
    231.66x = 319.67 × 126.74
  4. Step 4: Simplify right side
    231.66x = 40,512.74
  5. Step 5: Solve for x
    x = 40,512.74/231.66
  6. Step 6: Final answer
    x = 174.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.