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Finding the Fourth Proportional to 241.11, 361.48 and 111.02

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Solution

The fourth proportional to 241.11, 361.48 and 111.02 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.11 : 361.48 = 111.02 : x
  2. Step 2: Convert to fraction form
    241.11/361.48 = 111.02/x
  3. Step 3: Cross multiply
    241.11x = 361.48 × 111.02
  4. Step 4: Simplify right side
    241.11x = 40,129.42
  5. Step 5: Solve for x
    x = 40,129.42/241.11
  6. Step 6: Final answer
    x = 166.44

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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.