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Finding the Fourth Proportional to 445.78, 668.64 and 137.62

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Solution

The fourth proportional to 445.78, 668.64 and 137.62 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 668.64 = 137.62 : x
  2. Step 2: Convert to fraction form
    445.78/668.64 = 137.62/x
  3. Step 3: Cross multiply
    445.78x = 668.64 × 137.62
  4. Step 4: Simplify right side
    445.78x = 92,018.24
  5. Step 5: Solve for x
    x = 92,018.24/445.78
  6. Step 6: Final answer
    x = 206.42

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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.