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Finding the Fourth Proportional to 447.62, 618.03 and 290.48

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Solution

The fourth proportional to 447.62, 618.03 and 290.48 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.62 : 618.03 = 290.48 : x
  2. Step 2: Convert to fraction form
    447.62/618.03 = 290.48/x
  3. Step 3: Cross multiply
    447.62x = 618.03 × 290.48
  4. Step 4: Simplify right side
    447.62x = 179,522.26
  5. Step 5: Solve for x
    x = 179,522.26/447.62
  6. Step 6: Final answer
    x = 401.06

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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.