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Finding the Fourth Proportional to 235.12, 353.76 and 213.88

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Solution

The fourth proportional to 235.12, 353.76 and 213.88 is: 321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.12 : 353.76 = 213.88 : x
  2. Step 2: Convert to fraction form
    235.12/353.76 = 213.88/x
  3. Step 3: Cross multiply
    235.12x = 353.76 × 213.88
  4. Step 4: Simplify right side
    235.12x = 75,662.19
  5. Step 5: Solve for x
    x = 75,662.19/235.12
  6. Step 6: Final answer
    x = 321.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.