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Finding the Fourth Proportional to 232.43, 318.94 and 211.54

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Solution

The fourth proportional to 232.43, 318.94 and 211.54 is: 290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.43 : 318.94 = 211.54 : x
  2. Step 2: Convert to fraction form
    232.43/318.94 = 211.54/x
  3. Step 3: Cross multiply
    232.43x = 318.94 × 211.54
  4. Step 4: Simplify right side
    232.43x = 67,468.57
  5. Step 5: Solve for x
    x = 67,468.57/232.43
  6. Step 6: Final answer
    x = 290.27

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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.