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Finding the Fourth Proportional to 243.94, 367.36 and 205.67

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Solution

The fourth proportional to 243.94, 367.36 and 205.67 is: 309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 367.36 = 205.67 : x
  2. Step 2: Convert to fraction form
    243.94/367.36 = 205.67/x
  3. Step 3: Cross multiply
    243.94x = 367.36 × 205.67
  4. Step 4: Simplify right side
    243.94x = 75,554.93
  5. Step 5: Solve for x
    x = 75,554.93/243.94
  6. Step 6: Final answer
    x = 309.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.