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Finding the Fourth Proportional to 206.26, 309.20 and 137.75

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Solution

The fourth proportional to 206.26, 309.20 and 137.75 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 309.20 = 137.75 : x
  2. Step 2: Convert to fraction form
    206.26/309.20 = 137.75/x
  3. Step 3: Cross multiply
    206.26x = 309.20 × 137.75
  4. Step 4: Simplify right side
    206.26x = 42,590.75
  5. Step 5: Solve for x
    x = 42,590.75/206.26
  6. Step 6: Final answer
    x = 206.50

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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.