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Finding the Fourth Proportional to 338.47, 467.15 and 191.15

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Solution

The fourth proportional to 338.47, 467.15 and 191.15 is: 263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 467.15 = 191.15 : x
  2. Step 2: Convert to fraction form
    338.47/467.15 = 191.15/x
  3. Step 3: Cross multiply
    338.47x = 467.15 × 191.15
  4. Step 4: Simplify right side
    338.47x = 89,294.77
  5. Step 5: Solve for x
    x = 89,294.77/338.47
  6. Step 6: Final answer
    x = 263.82

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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.