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Finding the Fourth Proportional to 380.89, 571.63 and 250.85

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Solution

The fourth proportional to 380.89, 571.63 and 250.85 is: 376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 571.63 = 250.85 : x
  2. Step 2: Convert to fraction form
    380.89/571.63 = 250.85/x
  3. Step 3: Cross multiply
    380.89x = 571.63 × 250.85
  4. Step 4: Simplify right side
    380.89x = 143,390.74
  5. Step 5: Solve for x
    x = 143,390.74/380.89
  6. Step 6: Final answer
    x = 376.46

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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.