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Finding the Fourth Proportional to 361.19, 539.57 and 236.78

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Solution

The fourth proportional to 361.19, 539.57 and 236.78 is: 353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.19 : 539.57 = 236.78 : x
  2. Step 2: Convert to fraction form
    361.19/539.57 = 236.78/x
  3. Step 3: Cross multiply
    361.19x = 539.57 × 236.78
  4. Step 4: Simplify right side
    361.19x = 127,759.38
  5. Step 5: Solve for x
    x = 127,759.38/361.19
  6. Step 6: Final answer
    x = 353.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.