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Finding the Fourth Proportional to 445.34, 667.96 and 171.48

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Solution

The fourth proportional to 445.34, 667.96 and 171.48 is: 257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.34 : 667.96 = 171.48 : x
  2. Step 2: Convert to fraction form
    445.34/667.96 = 171.48/x
  3. Step 3: Cross multiply
    445.34x = 667.96 × 171.48
  4. Step 4: Simplify right side
    445.34x = 114,541.78
  5. Step 5: Solve for x
    x = 114,541.78/445.34
  6. Step 6: Final answer
    x = 257.20

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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.