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Finding the Fourth Proportional to 445.68, 668.19 and 137.35

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Solution

The fourth proportional to 445.68, 668.19 and 137.35 is: 205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.68 : 668.19 = 137.35 : x
  2. Step 2: Convert to fraction form
    445.68/668.19 = 137.35/x
  3. Step 3: Cross multiply
    445.68x = 668.19 × 137.35
  4. Step 4: Simplify right side
    445.68x = 91,775.21
  5. Step 5: Solve for x
    x = 91,775.21/445.68
  6. Step 6: Final answer
    x = 205.92

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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.