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Finding the Fourth Proportional to 338.75, 467.23 and 207.73

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Solution

The fourth proportional to 338.75, 467.23 and 207.73 is: 286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 467.23 = 207.73 : x
  2. Step 2: Convert to fraction form
    338.75/467.23 = 207.73/x
  3. Step 3: Cross multiply
    338.75x = 467.23 × 207.73
  4. Step 4: Simplify right side
    338.75x = 97,057.69
  5. Step 5: Solve for x
    x = 97,057.69/338.75
  6. Step 6: Final answer
    x = 286.52

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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.