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Finding the Fourth Proportional to 327.36, 488.89 and 262.46

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Solution

The fourth proportional to 327.36, 488.89 and 262.46 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.36 : 488.89 = 262.46 : x
  2. Step 2: Convert to fraction form
    327.36/488.89 = 262.46/x
  3. Step 3: Cross multiply
    327.36x = 488.89 × 262.46
  4. Step 4: Simplify right side
    327.36x = 128,310.31
  5. Step 5: Solve for x
    x = 128,310.31/327.36
  6. Step 6: Final answer
    x = 391.95

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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.