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Finding the Fourth Proportional to 330.73, 496.49 and 209.50

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Solution

The fourth proportional to 330.73, 496.49 and 209.50 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.73 : 496.49 = 209.50 : x
  2. Step 2: Convert to fraction form
    330.73/496.49 = 209.50/x
  3. Step 3: Cross multiply
    330.73x = 496.49 × 209.50
  4. Step 4: Simplify right side
    330.73x = 104,013.94
  5. Step 5: Solve for x
    x = 104,013.94/330.73
  6. Step 6: Final answer
    x = 314.50

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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.