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Finding the Fourth Proportional to 241.07, 361.48 and 111.11

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Solution

The fourth proportional to 241.07, 361.48 and 111.11 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.07 : 361.48 = 111.11 : x
  2. Step 2: Convert to fraction form
    241.07/361.48 = 111.11/x
  3. Step 3: Cross multiply
    241.07x = 361.48 × 111.11
  4. Step 4: Simplify right side
    241.07x = 40,161.96
  5. Step 5: Solve for x
    x = 40,161.96/241.07
  6. Step 6: Final answer
    x = 166.60

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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.