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Finding the Fourth Proportional to 996.57, 1,494.86 and 266.22

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Solution

The fourth proportional to 996.57, 1,494.86 and 266.22 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.57 : 1,494.86 = 266.22 : x
  2. Step 2: Convert to fraction form
    996.57/1,494.86 = 266.22/x
  3. Step 3: Cross multiply
    996.57x = 1,494.86 × 266.22
  4. Step 4: Simplify right side
    996.57x = 397,960.30
  5. Step 5: Solve for x
    x = 397,960.30/996.57
  6. Step 6: Final answer
    x = 399.33

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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.