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Finding the Fourth Proportional to 241.28, 361.64 and 132.88

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Solution

The fourth proportional to 241.28, 361.64 and 132.88 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 361.64 = 132.88 : x
  2. Step 2: Convert to fraction form
    241.28/361.64 = 132.88/x
  3. Step 3: Cross multiply
    241.28x = 361.64 × 132.88
  4. Step 4: Simplify right side
    241.28x = 48,054.72
  5. Step 5: Solve for x
    x = 48,054.72/241.28
  6. Step 6: Final answer
    x = 199.17

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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.