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Finding the Fourth Proportional to 333.96, 501 and 196.92

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Solution

The fourth proportional to 333.96, 501 and 196.92 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 501 = 196.92 : x
  2. Step 2: Convert to fraction form
    333.96/501 = 196.92/x
  3. Step 3: Cross multiply
    333.96x = 501 × 196.92
  4. Step 4: Simplify right side
    333.96x = 98,656.92
  5. Step 5: Solve for x
    x = 98,656.92/333.96
  6. Step 6: Final answer
    x = 295.42

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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.