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Finding the Fourth Proportional to 360.31, 539.08 and 206.31

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Solution

The fourth proportional to 360.31, 539.08 and 206.31 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.31 : 539.08 = 206.31 : x
  2. Step 2: Convert to fraction form
    360.31/539.08 = 206.31/x
  3. Step 3: Cross multiply
    360.31x = 539.08 × 206.31
  4. Step 4: Simplify right side
    360.31x = 111,217.59
  5. Step 5: Solve for x
    x = 111,217.59/360.31
  6. Step 6: Final answer
    x = 308.67

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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.