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Finding the Fourth Proportional to 493.46, 739.49 and 273.75

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Solution

The fourth proportional to 493.46, 739.49 and 273.75 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.46 : 739.49 = 273.75 : x
  2. Step 2: Convert to fraction form
    493.46/739.49 = 273.75/x
  3. Step 3: Cross multiply
    493.46x = 739.49 × 273.75
  4. Step 4: Simplify right side
    493.46x = 202,434.02
  5. Step 5: Solve for x
    x = 202,434.02/493.46
  6. Step 6: Final answer
    x = 410.24

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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.