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Finding the Fourth Proportional to 206.38, 309.48 and 84.60

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Solution

The fourth proportional to 206.38, 309.48 and 84.60 is: 126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 309.48 = 84.60 : x
  2. Step 2: Convert to fraction form
    206.38/309.48 = 84.60/x
  3. Step 3: Cross multiply
    206.38x = 309.48 × 84.60
  4. Step 4: Simplify right side
    206.38x = 26,182.01
  5. Step 5: Solve for x
    x = 26,182.01/206.38
  6. Step 6: Final answer
    x = 126.86

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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.