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Finding the Fourth Proportional to 447.26, 617.45 and 300.05

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Solution

The fourth proportional to 447.26, 617.45 and 300.05 is: 414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.26 : 617.45 = 300.05 : x
  2. Step 2: Convert to fraction form
    447.26/617.45 = 300.05/x
  3. Step 3: Cross multiply
    447.26x = 617.45 × 300.05
  4. Step 4: Simplify right side
    447.26x = 185,261.29
  5. Step 5: Solve for x
    x = 185,261.29/447.26
  6. Step 6: Final answer
    x = 414.21

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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.