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Finding the Fourth Proportional to 293.72, 437.98 and 273.86

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Solution

The fourth proportional to 293.72, 437.98 and 273.86 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 437.98 = 273.86 : x
  2. Step 2: Convert to fraction form
    293.72/437.98 = 273.86/x
  3. Step 3: Cross multiply
    293.72x = 437.98 × 273.86
  4. Step 4: Simplify right side
    293.72x = 119,945.20
  5. Step 5: Solve for x
    x = 119,945.20/293.72
  6. Step 6: Final answer
    x = 408.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.