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Finding the Fourth Proportional to 232.82, 319.41 and 218.10

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Solution

The fourth proportional to 232.82, 319.41 and 218.10 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.82 : 319.41 = 218.10 : x
  2. Step 2: Convert to fraction form
    232.82/319.41 = 218.10/x
  3. Step 3: Cross multiply
    232.82x = 319.41 × 218.10
  4. Step 4: Simplify right side
    232.82x = 69,662.23
  5. Step 5: Solve for x
    x = 69,662.23/232.82
  6. Step 6: Final answer
    x = 299.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.