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Finding the Fourth Proportional to 441.34, 662.26 and 181.28

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Solution

The fourth proportional to 441.34, 662.26 and 181.28 is: 272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.34 : 662.26 = 181.28 : x
  2. Step 2: Convert to fraction form
    441.34/662.26 = 181.28/x
  3. Step 3: Cross multiply
    441.34x = 662.26 × 181.28
  4. Step 4: Simplify right side
    441.34x = 120,054.49
  5. Step 5: Solve for x
    x = 120,054.49/441.34
  6. Step 6: Final answer
    x = 272.02

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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.