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Finding the Fourth Proportional to 367.70, 551.86 and 194.56

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Solution

The fourth proportional to 367.70, 551.86 and 194.56 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.70 : 551.86 = 194.56 : x
  2. Step 2: Convert to fraction form
    367.70/551.86 = 194.56/x
  3. Step 3: Cross multiply
    367.70x = 551.86 × 194.56
  4. Step 4: Simplify right side
    367.70x = 107,369.88
  5. Step 5: Solve for x
    x = 107,369.88/367.70
  6. Step 6: Final answer
    x = 292.00

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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.