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Finding the Fourth Proportional to 664.26, 996.14 and 202.17

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Solution

The fourth proportional to 664.26, 996.14 and 202.17 is: 303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 996.14 = 202.17 : x
  2. Step 2: Convert to fraction form
    664.26/996.14 = 202.17/x
  3. Step 3: Cross multiply
    664.26x = 996.14 × 202.17
  4. Step 4: Simplify right side
    664.26x = 201,388.61
  5. Step 5: Solve for x
    x = 201,388.61/664.26
  6. Step 6: Final answer
    x = 303.18

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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.