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Finding the Fourth Proportional to 273.09, 408.60 and 162.99

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Solution

The fourth proportional to 273.09, 408.60 and 162.99 is: 243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.09 : 408.60 = 162.99 : x
  2. Step 2: Convert to fraction form
    273.09/408.60 = 162.99/x
  3. Step 3: Cross multiply
    273.09x = 408.60 × 162.99
  4. Step 4: Simplify right side
    273.09x = 66,597.71
  5. Step 5: Solve for x
    x = 66,597.71/273.09
  6. Step 6: Final answer
    x = 243.87

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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.