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Finding the Fourth Proportional to 445.82, 668.78 and 137.70

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Solution

The fourth proportional to 445.82, 668.78 and 137.70 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.82 : 668.78 = 137.70 : x
  2. Step 2: Convert to fraction form
    445.82/668.78 = 137.70/x
  3. Step 3: Cross multiply
    445.82x = 668.78 × 137.70
  4. Step 4: Simplify right side
    445.82x = 92,091.01
  5. Step 5: Solve for x
    x = 92,091.01/445.82
  6. Step 6: Final answer
    x = 206.57

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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.