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Finding the Fourth Proportional to 662.63, 994.09 and 194.11

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Solution

The fourth proportional to 662.63, 994.09 and 194.11 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 994.09 = 194.11 : x
  2. Step 2: Convert to fraction form
    662.63/994.09 = 194.11/x
  3. Step 3: Cross multiply
    662.63x = 994.09 × 194.11
  4. Step 4: Simplify right side
    662.63x = 192,965.80
  5. Step 5: Solve for x
    x = 192,965.80/662.63
  6. Step 6: Final answer
    x = 291.21

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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.