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Finding the Fourth Proportional to 232.49, 318.32 and 231.68

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Solution

The fourth proportional to 232.49, 318.32 and 231.68 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.49 : 318.32 = 231.68 : x
  2. Step 2: Convert to fraction form
    232.49/318.32 = 231.68/x
  3. Step 3: Cross multiply
    232.49x = 318.32 × 231.68
  4. Step 4: Simplify right side
    232.49x = 73,748.38
  5. Step 5: Solve for x
    x = 73,748.38/232.49
  6. Step 6: Final answer
    x = 317.21

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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.