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Finding the Fourth Proportional to 206.78, 309.93 and 133.42

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Solution

The fourth proportional to 206.78, 309.93 and 133.42 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 309.93 = 133.42 : x
  2. Step 2: Convert to fraction form
    206.78/309.93 = 133.42/x
  3. Step 3: Cross multiply
    206.78x = 309.93 × 133.42
  4. Step 4: Simplify right side
    206.78x = 41,350.86
  5. Step 5: Solve for x
    x = 41,350.86/206.78
  6. Step 6: Final answer
    x = 199.98

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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.