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Finding the Fourth Proportional to 338.23, 467.10 and 239.80

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Solution

The fourth proportional to 338.23, 467.10 and 239.80 is: 331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 467.10 = 239.80 : x
  2. Step 2: Convert to fraction form
    338.23/467.10 = 239.80/x
  3. Step 3: Cross multiply
    338.23x = 467.10 × 239.80
  4. Step 4: Simplify right side
    338.23x = 112,010.58
  5. Step 5: Solve for x
    x = 112,010.58/338.23
  6. Step 6: Final answer
    x = 331.17

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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.