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Finding the Fourth Proportional to 338.75, 467.47 and 191.43

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Solution

The fourth proportional to 338.75, 467.47 and 191.43 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 467.47 = 191.43 : x
  2. Step 2: Convert to fraction form
    338.75/467.47 = 191.43/x
  3. Step 3: Cross multiply
    338.75x = 467.47 × 191.43
  4. Step 4: Simplify right side
    338.75x = 89,488.02
  5. Step 5: Solve for x
    x = 89,488.02/338.75
  6. Step 6: Final answer
    x = 264.17

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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.