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Finding the Fourth Proportional to 235.16, 353.10 and 213.92

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Solution

The fourth proportional to 235.16, 353.10 and 213.92 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.16 : 353.10 = 213.92 : x
  2. Step 2: Convert to fraction form
    235.16/353.10 = 213.92/x
  3. Step 3: Cross multiply
    235.16x = 353.10 × 213.92
  4. Step 4: Simplify right side
    235.16x = 75,535.15
  5. Step 5: Solve for x
    x = 75,535.15/235.16
  6. Step 6: Final answer
    x = 321.21

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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.