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Finding the Fourth Proportional to 662.25, 993.50 and 229.41

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Solution

The fourth proportional to 662.25, 993.50 and 229.41 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 993.50 = 229.41 : x
  2. Step 2: Convert to fraction form
    662.25/993.50 = 229.41/x
  3. Step 3: Cross multiply
    662.25x = 993.50 × 229.41
  4. Step 4: Simplify right side
    662.25x = 227,918.84
  5. Step 5: Solve for x
    x = 227,918.84/662.25
  6. Step 6: Final answer
    x = 344.16

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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.