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Finding the Fourth Proportional to 427.21, 639.43 and 241.61

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Solution

The fourth proportional to 427.21, 639.43 and 241.61 is: 361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.21 : 639.43 = 241.61 : x
  2. Step 2: Convert to fraction form
    427.21/639.43 = 241.61/x
  3. Step 3: Cross multiply
    427.21x = 639.43 × 241.61
  4. Step 4: Simplify right side
    427.21x = 154,488.88
  5. Step 5: Solve for x
    x = 154,488.88/427.21
  6. Step 6: Final answer
    x = 361.62

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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.