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Finding the Fourth Proportional to 300.08, 451.76 and 270.31

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Solution

The fourth proportional to 300.08, 451.76 and 270.31 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.08 : 451.76 = 270.31 : x
  2. Step 2: Convert to fraction form
    300.08/451.76 = 270.31/x
  3. Step 3: Cross multiply
    300.08x = 451.76 × 270.31
  4. Step 4: Simplify right side
    300.08x = 122,115.25
  5. Step 5: Solve for x
    x = 122,115.25/300.08
  6. Step 6: Final answer
    x = 406.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.