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Finding the Fourth Proportional to 330.98, 496.49 and 209.07

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Solution

The fourth proportional to 330.98, 496.49 and 209.07 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 496.49 = 209.07 : x
  2. Step 2: Convert to fraction form
    330.98/496.49 = 209.07/x
  3. Step 3: Cross multiply
    330.98x = 496.49 × 209.07
  4. Step 4: Simplify right side
    330.98x = 103,800.12
  5. Step 5: Solve for x
    x = 103,800.12/330.98
  6. Step 6: Final answer
    x = 313.62

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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.