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Finding the Fourth Proportional to 241.27, 361.98 and 164.12

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Solution

The fourth proportional to 241.27, 361.98 and 164.12 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.27 : 361.98 = 164.12 : x
  2. Step 2: Convert to fraction form
    241.27/361.98 = 164.12/x
  3. Step 3: Cross multiply
    241.27x = 361.98 × 164.12
  4. Step 4: Simplify right side
    241.27x = 59,408.16
  5. Step 5: Solve for x
    x = 59,408.16/241.27
  6. Step 6: Final answer
    x = 246.23

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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.