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Finding the Fourth Proportional to 381.12, 571.40 and 308.09

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Solution

The fourth proportional to 381.12, 571.40 and 308.09 is: 461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.12 : 571.40 = 308.09 : x
  2. Step 2: Convert to fraction form
    381.12/571.40 = 308.09/x
  3. Step 3: Cross multiply
    381.12x = 571.40 × 308.09
  4. Step 4: Simplify right side
    381.12x = 176,042.63
  5. Step 5: Solve for x
    x = 176,042.63/381.12
  6. Step 6: Final answer
    x = 461.91

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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.