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Finding the Fourth Proportional to 662.32, 993.34 and 272.23

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Solution

The fourth proportional to 662.32, 993.34 and 272.23 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 993.34 = 272.23 : x
  2. Step 2: Convert to fraction form
    662.32/993.34 = 272.23/x
  3. Step 3: Cross multiply
    662.32x = 993.34 × 272.23
  4. Step 4: Simplify right side
    662.32x = 270,410.62
  5. Step 5: Solve for x
    x = 270,410.62/662.32
  6. Step 6: Final answer
    x = 408.28

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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.