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Finding the Fourth Proportional to 381.13, 528.38 and 361.37

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Solution

The fourth proportional to 381.13, 528.38 and 361.37 is: 500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 528.38 = 361.37 : x
  2. Step 2: Convert to fraction form
    381.13/528.38 = 361.37/x
  3. Step 3: Cross multiply
    381.13x = 528.38 × 361.37
  4. Step 4: Simplify right side
    381.13x = 190,940.68
  5. Step 5: Solve for x
    x = 190,940.68/381.13
  6. Step 6: Final answer
    x = 500.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.