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Finding the Fourth Proportional to 300.75, 415.08 and 218.25

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Solution

The fourth proportional to 300.75, 415.08 and 218.25 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 415.08 = 218.25 : x
  2. Step 2: Convert to fraction form
    300.75/415.08 = 218.25/x
  3. Step 3: Cross multiply
    300.75x = 415.08 × 218.25
  4. Step 4: Simplify right side
    300.75x = 90,591.21
  5. Step 5: Solve for x
    x = 90,591.21/300.75
  6. Step 6: Final answer
    x = 301.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.