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Finding the Fourth Proportional to 445.41, 668.21 and 171.50

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Solution

The fourth proportional to 445.41, 668.21 and 171.50 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.41 : 668.21 = 171.50 : x
  2. Step 2: Convert to fraction form
    445.41/668.21 = 171.50/x
  3. Step 3: Cross multiply
    445.41x = 668.21 × 171.50
  4. Step 4: Simplify right side
    445.41x = 114,593.82
  5. Step 5: Solve for x
    x = 114,593.82/445.41
  6. Step 6: Final answer
    x = 257.28

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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.