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Finding the Fourth Proportional to 361.21, 541.81 and 144.78

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Solution

The fourth proportional to 361.21, 541.81 and 144.78 is: 217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.21 : 541.81 = 144.78 : x
  2. Step 2: Convert to fraction form
    361.21/541.81 = 144.78/x
  3. Step 3: Cross multiply
    361.21x = 541.81 × 144.78
  4. Step 4: Simplify right side
    361.21x = 78,442.53
  5. Step 5: Solve for x
    x = 78,442.53/361.21
  6. Step 6: Final answer
    x = 217.17

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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.