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Finding the Fourth Proportional to 447.96, 618.20 and 261.42

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Solution

The fourth proportional to 447.96, 618.20 and 261.42 is: 360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.96 : 618.20 = 261.42 : x
  2. Step 2: Convert to fraction form
    447.96/618.20 = 261.42/x
  3. Step 3: Cross multiply
    447.96x = 618.20 × 261.42
  4. Step 4: Simplify right side
    447.96x = 161,608.74
  5. Step 5: Solve for x
    x = 161,608.74/447.96
  6. Step 6: Final answer
    x = 360.77

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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.