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Finding the Fourth Proportional to 561.96, 842.39 and 196.49

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Solution

The fourth proportional to 561.96, 842.39 and 196.49 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 842.39 = 196.49 : x
  2. Step 2: Convert to fraction form
    561.96/842.39 = 196.49/x
  3. Step 3: Cross multiply
    561.96x = 842.39 × 196.49
  4. Step 4: Simplify right side
    561.96x = 165,520.48
  5. Step 5: Solve for x
    x = 165,520.48/561.96
  6. Step 6: Final answer
    x = 294.54

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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.