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Finding the Fourth Proportional to 338.61, 467.31 and 191.27

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Solution

The fourth proportional to 338.61, 467.31 and 191.27 is: 263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.31 = 191.27 : x
  2. Step 2: Convert to fraction form
    338.61/467.31 = 191.27/x
  3. Step 3: Cross multiply
    338.61x = 467.31 × 191.27
  4. Step 4: Simplify right side
    338.61x = 89,379.67
  5. Step 5: Solve for x
    x = 89,379.67/338.61
  6. Step 6: Final answer
    x = 263.96

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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.