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Finding the Fourth Proportional to 243.50, 367.13 and 195.98

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Solution

The fourth proportional to 243.50, 367.13 and 195.98 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.50 : 367.13 = 195.98 : x
  2. Step 2: Convert to fraction form
    243.50/367.13 = 195.98/x
  3. Step 3: Cross multiply
    243.50x = 367.13 × 195.98
  4. Step 4: Simplify right side
    243.50x = 71,950.14
  5. Step 5: Solve for x
    x = 71,950.14/243.50
  6. Step 6: Final answer
    x = 295.48

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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.