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Finding the Fourth Proportional to 441.27, 661.99 and 181.42

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Solution

The fourth proportional to 441.27, 661.99 and 181.42 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.27 : 661.99 = 181.42 : x
  2. Step 2: Convert to fraction form
    441.27/661.99 = 181.42/x
  3. Step 3: Cross multiply
    441.27x = 661.99 × 181.42
  4. Step 4: Simplify right side
    441.27x = 120,096.12
  5. Step 5: Solve for x
    x = 120,096.12/441.27
  6. Step 6: Final answer
    x = 272.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.