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Finding the Fourth Proportional to 447.93, 617.74 and 290.41

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Solution

The fourth proportional to 447.93, 617.74 and 290.41 is: 400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.93 : 617.74 = 290.41 : x
  2. Step 2: Convert to fraction form
    447.93/617.74 = 290.41/x
  3. Step 3: Cross multiply
    447.93x = 617.74 × 290.41
  4. Step 4: Simplify right side
    447.93x = 179,393.33
  5. Step 5: Solve for x
    x = 179,393.33/447.93
  6. Step 6: Final answer
    x = 400.49

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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.