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Finding the Fourth Proportional to 338.27, 466.82 and 186.86

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Solution

The fourth proportional to 338.27, 466.82 and 186.86 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 466.82 = 186.86 : x
  2. Step 2: Convert to fraction form
    338.27/466.82 = 186.86/x
  3. Step 3: Cross multiply
    338.27x = 466.82 × 186.86
  4. Step 4: Simplify right side
    338.27x = 87,231.62
  5. Step 5: Solve for x
    x = 87,231.62/338.27
  6. Step 6: Final answer
    x = 257.87

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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.