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Finding the Fourth Proportional to 338.78, 467.67 and 240.59

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Solution

The fourth proportional to 338.78, 467.67 and 240.59 is: 332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 467.67 = 240.59 : x
  2. Step 2: Convert to fraction form
    338.78/467.67 = 240.59/x
  3. Step 3: Cross multiply
    338.78x = 467.67 × 240.59
  4. Step 4: Simplify right side
    338.78x = 112,516.73
  5. Step 5: Solve for x
    x = 112,516.73/338.78
  6. Step 6: Final answer
    x = 332.12

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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.