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Finding the Fourth Proportional to 273.07, 409.11 and 208.50

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Solution

The fourth proportional to 273.07, 409.11 and 208.50 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.07 : 409.11 = 208.50 : x
  2. Step 2: Convert to fraction form
    273.07/409.11 = 208.50/x
  3. Step 3: Cross multiply
    273.07x = 409.11 × 208.50
  4. Step 4: Simplify right side
    273.07x = 85,299.44
  5. Step 5: Solve for x
    x = 85,299.44/273.07
  6. Step 6: Final answer
    x = 312.37

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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.