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Finding the Fourth Proportional to 235.54, 351.21 and 217.82

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Solution

The fourth proportional to 235.54, 351.21 and 217.82 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.54 : 351.21 = 217.82 : x
  2. Step 2: Convert to fraction form
    235.54/351.21 = 217.82/x
  3. Step 3: Cross multiply
    235.54x = 351.21 × 217.82
  4. Step 4: Simplify right side
    235.54x = 76,500.56
  5. Step 5: Solve for x
    x = 76,500.56/235.54
  6. Step 6: Final answer
    x = 324.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.