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Finding the Fourth Proportional to 327.93, 450.07 and 300.12

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Solution

The fourth proportional to 327.93, 450.07 and 300.12 is: 411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 450.07 = 300.12 : x
  2. Step 2: Convert to fraction form
    327.93/450.07 = 300.12/x
  3. Step 3: Cross multiply
    327.93x = 450.07 × 300.12
  4. Step 4: Simplify right side
    327.93x = 135,075.01
  5. Step 5: Solve for x
    x = 135,075.01/327.93
  6. Step 6: Final answer
    x = 411.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.