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Finding the Fourth Proportional to 232.27, 318.65 and 230.38

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Solution

The fourth proportional to 232.27, 318.65 and 230.38 is: 316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.27 : 318.65 = 230.38 : x
  2. Step 2: Convert to fraction form
    232.27/318.65 = 230.38/x
  3. Step 3: Cross multiply
    232.27x = 318.65 × 230.38
  4. Step 4: Simplify right side
    232.27x = 73,409.93
  5. Step 5: Solve for x
    x = 73,409.93/232.27
  6. Step 6: Final answer
    x = 316.06

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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.