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Finding the Fourth Proportional to 381.83, 571.42 and 316.95

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Solution

The fourth proportional to 381.83, 571.42 and 316.95 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.83 : 571.42 = 316.95 : x
  2. Step 2: Convert to fraction form
    381.83/571.42 = 316.95/x
  3. Step 3: Cross multiply
    381.83x = 571.42 × 316.95
  4. Step 4: Simplify right side
    381.83x = 181,109.98
  5. Step 5: Solve for x
    x = 181,109.98/381.83
  6. Step 6: Final answer
    x = 474.33

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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.