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Finding the Fourth Proportional to 338.42, 467.09 and 239.33

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Solution

The fourth proportional to 338.42, 467.09 and 239.33 is: 330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 467.09 = 239.33 : x
  2. Step 2: Convert to fraction form
    338.42/467.09 = 239.33/x
  3. Step 3: Cross multiply
    338.42x = 467.09 × 239.33
  4. Step 4: Simplify right side
    338.42x = 111,785.12
  5. Step 5: Solve for x
    x = 111,785.12/338.42
  6. Step 6: Final answer
    x = 330.32

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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.