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Finding the Fourth Proportional to 273.06, 408.87 and 243.68

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Solution

The fourth proportional to 273.06, 408.87 and 243.68 is: 364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 408.87 = 243.68 : x
  2. Step 2: Convert to fraction form
    273.06/408.87 = 243.68/x
  3. Step 3: Cross multiply
    273.06x = 408.87 × 243.68
  4. Step 4: Simplify right side
    273.06x = 99,631.40
  5. Step 5: Solve for x
    x = 99,631.40/273.06
  6. Step 6: Final answer
    x = 364.87

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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.