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Finding the Fourth Proportional to 251.82, 377.49 and 194.31

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Solution

The fourth proportional to 251.82, 377.49 and 194.31 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.82 : 377.49 = 194.31 : x
  2. Step 2: Convert to fraction form
    251.82/377.49 = 194.31/x
  3. Step 3: Cross multiply
    251.82x = 377.49 × 194.31
  4. Step 4: Simplify right side
    251.82x = 73,350.08
  5. Step 5: Solve for x
    x = 73,350.08/251.82
  6. Step 6: Final answer
    x = 291.28

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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.