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Finding the Fourth Proportional to 562.05, 843.20 and 196.85

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Solution

The fourth proportional to 562.05, 843.20 and 196.85 is: 295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 843.20 = 196.85 : x
  2. Step 2: Convert to fraction form
    562.05/843.20 = 196.85/x
  3. Step 3: Cross multiply
    562.05x = 843.20 × 196.85
  4. Step 4: Simplify right side
    562.05x = 165,978.72
  5. Step 5: Solve for x
    x = 165,978.72/562.05
  6. Step 6: Final answer
    x = 295.31

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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.