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Finding the Fourth Proportional to 376.97, 520.25 and 211.22

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Solution

The fourth proportional to 376.97, 520.25 and 211.22 is: 291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 520.25 = 211.22 : x
  2. Step 2: Convert to fraction form
    376.97/520.25 = 211.22/x
  3. Step 3: Cross multiply
    376.97x = 520.25 × 211.22
  4. Step 4: Simplify right side
    376.97x = 109,889.03
  5. Step 5: Solve for x
    x = 109,889.03/376.97
  6. Step 6: Final answer
    x = 291.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.