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Finding the Fourth Proportional to 447.67, 617.40 and 290.25

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Solution

The fourth proportional to 447.67, 617.40 and 290.25 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 617.40 = 290.25 : x
  2. Step 2: Convert to fraction form
    447.67/617.40 = 290.25/x
  3. Step 3: Cross multiply
    447.67x = 617.40 × 290.25
  4. Step 4: Simplify right side
    447.67x = 179,198.82
  5. Step 5: Solve for x
    x = 179,198.82/447.67
  6. Step 6: Final answer
    x = 400.29

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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.