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Finding the Fourth Proportional to 447.67, 618.00 and 298.54

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Solution

The fourth proportional to 447.67, 618.00 and 298.54 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.67 : 618.00 = 298.54 : x
  2. Step 2: Convert to fraction form
    447.67/618.00 = 298.54/x
  3. Step 3: Cross multiply
    447.67x = 618.00 × 298.54
  4. Step 4: Simplify right side
    447.67x = 184,496.97
  5. Step 5: Solve for x
    x = 184,496.97/447.67
  6. Step 6: Final answer
    x = 412.13

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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.