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Finding the Fourth Proportional to 206.22, 309.09 and 114.94

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Solution

The fourth proportional to 206.22, 309.09 and 114.94 is: 172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.22 : 309.09 = 114.94 : x
  2. Step 2: Convert to fraction form
    206.22/309.09 = 114.94/x
  3. Step 3: Cross multiply
    206.22x = 309.09 × 114.94
  4. Step 4: Simplify right side
    206.22x = 35,527.62
  5. Step 5: Solve for x
    x = 35,527.62/206.22
  6. Step 6: Final answer
    x = 172.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.