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Finding the Fourth Proportional to 361.37, 541.69 and 141.69

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Solution

The fourth proportional to 361.37, 541.69 and 141.69 is: 212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.37 : 541.69 = 141.69 : x
  2. Step 2: Convert to fraction form
    361.37/541.69 = 141.69/x
  3. Step 3: Cross multiply
    361.37x = 541.69 × 141.69
  4. Step 4: Simplify right side
    361.37x = 76,751.70
  5. Step 5: Solve for x
    x = 76,751.70/361.37
  6. Step 6: Final answer
    x = 212.39

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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.