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Finding the Fourth Proportional to 381.97, 573.08 and 341.13

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Solution

The fourth proportional to 381.97, 573.08 and 341.13 is: 511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.97 : 573.08 = 341.13 : x
  2. Step 2: Convert to fraction form
    381.97/573.08 = 341.13/x
  3. Step 3: Cross multiply
    381.97x = 573.08 × 341.13
  4. Step 4: Simplify right side
    381.97x = 195,495.22
  5. Step 5: Solve for x
    x = 195,495.22/381.97
  6. Step 6: Final answer
    x = 511.81

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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.