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Finding the Fourth Proportional to 445.77, 668.76 and 137.62

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Solution

The fourth proportional to 445.77, 668.76 and 137.62 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.77 : 668.76 = 137.62 : x
  2. Step 2: Convert to fraction form
    445.77/668.76 = 137.62/x
  3. Step 3: Cross multiply
    445.77x = 668.76 × 137.62
  4. Step 4: Simplify right side
    445.77x = 92,031.41
  5. Step 5: Solve for x
    x = 92,031.41/445.77
  6. Step 6: Final answer
    x = 206.45

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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.