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Finding the Fourth Proportional to 447.90, 618.17 and 291.00

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Solution

The fourth proportional to 447.90, 618.17 and 291.00 is: 401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.90 : 618.17 = 291.00 : x
  2. Step 2: Convert to fraction form
    447.90/618.17 = 291.00/x
  3. Step 3: Cross multiply
    447.90x = 618.17 × 291.00
  4. Step 4: Simplify right side
    447.90x = 179,884.86
  5. Step 5: Solve for x
    x = 179,884.86/447.90
  6. Step 6: Final answer
    x = 401.62

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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.