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Finding the Fourth Proportional to 329.03, 493.53 and 191.80

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Solution

The fourth proportional to 329.03, 493.53 and 191.80 is: 287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.03 : 493.53 = 191.80 : x
  2. Step 2: Convert to fraction form
    329.03/493.53 = 191.80/x
  3. Step 3: Cross multiply
    329.03x = 493.53 × 191.80
  4. Step 4: Simplify right side
    329.03x = 94,659.05
  5. Step 5: Solve for x
    x = 94,659.05/329.03
  6. Step 6: Final answer
    x = 287.69

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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.