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Finding the Fourth Proportional to 361.91, 538.21 and 350.38

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Solution

The fourth proportional to 361.91, 538.21 and 350.38 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.91 : 538.21 = 350.38 : x
  2. Step 2: Convert to fraction form
    361.91/538.21 = 350.38/x
  3. Step 3: Cross multiply
    361.91x = 538.21 × 350.38
  4. Step 4: Simplify right side
    361.91x = 188,574.62
  5. Step 5: Solve for x
    x = 188,574.62/361.91
  6. Step 6: Final answer
    x = 521.06

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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.