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Finding the Fourth Proportional to 329.39, 493.81 and 136.88

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Solution

The fourth proportional to 329.39, 493.81 and 136.88 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.39 : 493.81 = 136.88 : x
  2. Step 2: Convert to fraction form
    329.39/493.81 = 136.88/x
  3. Step 3: Cross multiply
    329.39x = 493.81 × 136.88
  4. Step 4: Simplify right side
    329.39x = 67,592.71
  5. Step 5: Solve for x
    x = 67,592.71/329.39
  6. Step 6: Final answer
    x = 205.21

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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.