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Finding the Fourth Proportional to 327.52, 488.57 and 272.80

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Solution

The fourth proportional to 327.52, 488.57 and 272.80 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 488.57 = 272.80 : x
  2. Step 2: Convert to fraction form
    327.52/488.57 = 272.80/x
  3. Step 3: Cross multiply
    327.52x = 488.57 × 272.80
  4. Step 4: Simplify right side
    327.52x = 133,281.90
  5. Step 5: Solve for x
    x = 133,281.90/327.52
  6. Step 6: Final answer
    x = 406.94

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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.