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Finding the Fourth Proportional to 360.38, 539.60 and 206.17

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Solution

The fourth proportional to 360.38, 539.60 and 206.17 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.38 : 539.60 = 206.17 : x
  2. Step 2: Convert to fraction form
    360.38/539.60 = 206.17/x
  3. Step 3: Cross multiply
    360.38x = 539.60 × 206.17
  4. Step 4: Simplify right side
    360.38x = 111,246.95
  5. Step 5: Solve for x
    x = 111,246.95/360.38
  6. Step 6: Final answer
    x = 308.69

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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.