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Finding the Fourth Proportional to 333.89, 499.91 and 196.28

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Solution

The fourth proportional to 333.89, 499.91 and 196.28 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.89 : 499.91 = 196.28 : x
  2. Step 2: Convert to fraction form
    333.89/499.91 = 196.28/x
  3. Step 3: Cross multiply
    333.89x = 499.91 × 196.28
  4. Step 4: Simplify right side
    333.89x = 98,118.85
  5. Step 5: Solve for x
    x = 98,118.85/333.89
  6. Step 6: Final answer
    x = 293.87

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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.