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Finding the Fourth Proportional to 327.70, 488.98 and 273.70

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Solution

The fourth proportional to 327.70, 488.98 and 273.70 is: 408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 488.98 = 273.70 : x
  2. Step 2: Convert to fraction form
    327.70/488.98 = 273.70/x
  3. Step 3: Cross multiply
    327.70x = 488.98 × 273.70
  4. Step 4: Simplify right side
    327.70x = 133,833.83
  5. Step 5: Solve for x
    x = 133,833.83/327.70
  6. Step 6: Final answer
    x = 408.40

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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.