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Finding the Fourth Proportional to 251.93, 378.20 and 194.22

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Solution

The fourth proportional to 251.93, 378.20 and 194.22 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.93 : 378.20 = 194.22 : x
  2. Step 2: Convert to fraction form
    251.93/378.20 = 194.22/x
  3. Step 3: Cross multiply
    251.93x = 378.20 × 194.22
  4. Step 4: Simplify right side
    251.93x = 73,454.49
  5. Step 5: Solve for x
    x = 73,454.49/251.93
  6. Step 6: Final answer
    x = 291.56

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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.