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Finding the Fourth Proportional to 273.15, 408.96 and 186.39

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Solution

The fourth proportional to 273.15, 408.96 and 186.39 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.15 : 408.96 = 186.39 : x
  2. Step 2: Convert to fraction form
    273.15/408.96 = 186.39/x
  3. Step 3: Cross multiply
    273.15x = 408.96 × 186.39
  4. Step 4: Simplify right side
    273.15x = 76,226.05
  5. Step 5: Solve for x
    x = 76,226.05/273.15
  6. Step 6: Final answer
    x = 279.06

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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.