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Finding the Fourth Proportional to 338.50, 467.17 and 191.18

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Solution

The fourth proportional to 338.50, 467.17 and 191.18 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 467.17 = 191.18 : x
  2. Step 2: Convert to fraction form
    338.50/467.17 = 191.18/x
  3. Step 3: Cross multiply
    338.50x = 467.17 × 191.18
  4. Step 4: Simplify right side
    338.50x = 89,314.25
  5. Step 5: Solve for x
    x = 89,314.25/338.50
  6. Step 6: Final answer
    x = 263.85

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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.