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Finding the Fourth Proportional to 206.48, 309.34 and 163.42

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Solution

The fourth proportional to 206.48, 309.34 and 163.42 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 309.34 = 163.42 : x
  2. Step 2: Convert to fraction form
    206.48/309.34 = 163.42/x
  3. Step 3: Cross multiply
    206.48x = 309.34 × 163.42
  4. Step 4: Simplify right side
    206.48x = 50,552.34
  5. Step 5: Solve for x
    x = 50,552.34/206.48
  6. Step 6: Final answer
    x = 244.83

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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.