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Finding the Fourth Proportional to 198.50, 275.72 and 195.35

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Solution

The fourth proportional to 198.50, 275.72 and 195.35 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 275.72 = 195.35 : x
  2. Step 2: Convert to fraction form
    198.50/275.72 = 195.35/x
  3. Step 3: Cross multiply
    198.50x = 275.72 × 195.35
  4. Step 4: Simplify right side
    198.50x = 53,859.55
  5. Step 5: Solve for x
    x = 53,859.55/198.50
  6. Step 6: Final answer
    x = 271.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.