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Finding the Fourth Proportional to 235.96, 352.96 and 213.46

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Solution

The fourth proportional to 235.96, 352.96 and 213.46 is: 319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.96 : 352.96 = 213.46 : x
  2. Step 2: Convert to fraction form
    235.96/352.96 = 213.46/x
  3. Step 3: Cross multiply
    235.96x = 352.96 × 213.46
  4. Step 4: Simplify right side
    235.96x = 75,342.84
  5. Step 5: Solve for x
    x = 75,342.84/235.96
  6. Step 6: Final answer
    x = 319.30

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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.