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Finding the Fourth Proportional to 331.20, 496 and 209.10

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Solution

The fourth proportional to 331.20, 496 and 209.10 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 496 = 209.10 : x
  2. Step 2: Convert to fraction form
    331.20/496 = 209.10/x
  3. Step 3: Cross multiply
    331.20x = 496 × 209.10
  4. Step 4: Simplify right side
    331.20x = 103,713.60
  5. Step 5: Solve for x
    x = 103,713.60/331.20
  6. Step 6: Final answer
    x = 313.14

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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.