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Finding the Fourth Proportional to 235.08, 353.90 and 213.89

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Solution

The fourth proportional to 235.08, 353.90 and 213.89 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.08 : 353.90 = 213.89 : x
  2. Step 2: Convert to fraction form
    235.08/353.90 = 213.89/x
  3. Step 3: Cross multiply
    235.08x = 353.90 × 213.89
  4. Step 4: Simplify right side
    235.08x = 75,692.83
  5. Step 5: Solve for x
    x = 75,692.83/235.08
  6. Step 6: Final answer
    x = 321.99

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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.