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Finding the Fourth Proportional to 298.64, 449.60 and 273.52

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Solution

The fourth proportional to 298.64, 449.60 and 273.52 is: 411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 449.60 = 273.52 : x
  2. Step 2: Convert to fraction form
    298.64/449.60 = 273.52/x
  3. Step 3: Cross multiply
    298.64x = 449.60 × 273.52
  4. Step 4: Simplify right side
    298.64x = 122,974.59
  5. Step 5: Solve for x
    x = 122,974.59/298.64
  6. Step 6: Final answer
    x = 411.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.