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Finding the Fourth Proportional to 241.56, 361.42 and 218.77

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Solution

The fourth proportional to 241.56, 361.42 and 218.77 is: 327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.56 : 361.42 = 218.77 : x
  2. Step 2: Convert to fraction form
    241.56/361.42 = 218.77/x
  3. Step 3: Cross multiply
    241.56x = 361.42 × 218.77
  4. Step 4: Simplify right side
    241.56x = 79,066.40
  5. Step 5: Solve for x
    x = 79,066.40/241.56
  6. Step 6: Final answer
    x = 327.32

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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.