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Finding the Fourth Proportional to 235.11, 354.23 and 213.46

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Solution

The fourth proportional to 235.11, 354.23 and 213.46 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.11 : 354.23 = 213.46 : x
  2. Step 2: Convert to fraction form
    235.11/354.23 = 213.46/x
  3. Step 3: Cross multiply
    235.11x = 354.23 × 213.46
  4. Step 4: Simplify right side
    235.11x = 75,613.94
  5. Step 5: Solve for x
    x = 75,613.94/235.11
  6. Step 6: Final answer
    x = 321.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.