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Finding the Fourth Proportional to 445.98, 668.78 and 172.02

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Solution

The fourth proportional to 445.98, 668.78 and 172.02 is: 257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.98 : 668.78 = 172.02 : x
  2. Step 2: Convert to fraction form
    445.98/668.78 = 172.02/x
  3. Step 3: Cross multiply
    445.98x = 668.78 × 172.02
  4. Step 4: Simplify right side
    445.98x = 115,046.31
  5. Step 5: Solve for x
    x = 115,046.31/445.98
  6. Step 6: Final answer
    x = 257.96

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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.