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Finding the Fourth Proportional to 361.17, 541.94 and 168.79

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Solution

The fourth proportional to 361.17, 541.94 and 168.79 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 541.94 = 168.79 : x
  2. Step 2: Convert to fraction form
    361.17/541.94 = 168.79/x
  3. Step 3: Cross multiply
    361.17x = 541.94 × 168.79
  4. Step 4: Simplify right side
    361.17x = 91,474.05
  5. Step 5: Solve for x
    x = 91,474.05/361.17
  6. Step 6: Final answer
    x = 253.27

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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.