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Finding the Fourth Proportional to 380.91, 571.42 and 120.86

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Solution

The fourth proportional to 380.91, 571.42 and 120.86 is: 181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.91 : 571.42 = 120.86 : x
  2. Step 2: Convert to fraction form
    380.91/571.42 = 120.86/x
  3. Step 3: Cross multiply
    380.91x = 571.42 × 120.86
  4. Step 4: Simplify right side
    380.91x = 69,061.82
  5. Step 5: Solve for x
    x = 69,061.82/380.91
  6. Step 6: Final answer
    x = 181.31

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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.