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Finding the Fourth Proportional to 662.89, 994.54 and 200.68

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Solution

The fourth proportional to 662.89, 994.54 and 200.68 is: 301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.89 : 994.54 = 200.68 : x
  2. Step 2: Convert to fraction form
    662.89/994.54 = 200.68/x
  3. Step 3: Cross multiply
    662.89x = 994.54 × 200.68
  4. Step 4: Simplify right side
    662.89x = 199,584.29
  5. Step 5: Solve for x
    x = 199,584.29/662.89
  6. Step 6: Final answer
    x = 301.08

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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.