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Finding the Fourth Proportional to 327.11, 488.48 and 286.11

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Solution

The fourth proportional to 327.11, 488.48 and 286.11 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.11 : 488.48 = 286.11 : x
  2. Step 2: Convert to fraction form
    327.11/488.48 = 286.11/x
  3. Step 3: Cross multiply
    327.11x = 488.48 × 286.11
  4. Step 4: Simplify right side
    327.11x = 139,757.82
  5. Step 5: Solve for x
    x = 139,757.82/327.11
  6. Step 6: Final answer
    x = 427.25

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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.