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Finding the Fourth Proportional to 329.68, 494.82 and 208.16

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Solution

The fourth proportional to 329.68, 494.82 and 208.16 is: 312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.68 : 494.82 = 208.16 : x
  2. Step 2: Convert to fraction form
    329.68/494.82 = 208.16/x
  3. Step 3: Cross multiply
    329.68x = 494.82 × 208.16
  4. Step 4: Simplify right side
    329.68x = 103,001.73
  5. Step 5: Solve for x
    x = 103,001.73/329.68
  6. Step 6: Final answer
    x = 312.43

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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.