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Finding the Fourth Proportional to 232.58, 319.18 and 231.78

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Solution

The fourth proportional to 232.58, 319.18 and 231.78 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.58 : 319.18 = 231.78 : x
  2. Step 2: Convert to fraction form
    232.58/319.18 = 231.78/x
  3. Step 3: Cross multiply
    232.58x = 319.18 × 231.78
  4. Step 4: Simplify right side
    232.58x = 73,979.54
  5. Step 5: Solve for x
    x = 73,979.54/232.58
  6. Step 6: Final answer
    x = 318.08

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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.