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Finding the Fourth Proportional to 445.11, 667.46 and 171.14

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Solution

The fourth proportional to 445.11, 667.46 and 171.14 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.11 : 667.46 = 171.14 : x
  2. Step 2: Convert to fraction form
    445.11/667.46 = 171.14/x
  3. Step 3: Cross multiply
    445.11x = 667.46 × 171.14
  4. Step 4: Simplify right side
    445.11x = 114,224.91
  5. Step 5: Solve for x
    x = 114,224.91/445.11
  6. Step 6: Final answer
    x = 256.62

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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.