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Finding the Fourth Proportional to 197.85, 295.26 and 196.74

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Solution

The fourth proportional to 197.85, 295.26 and 196.74 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.85 : 295.26 = 196.74 : x
  2. Step 2: Convert to fraction form
    197.85/295.26 = 196.74/x
  3. Step 3: Cross multiply
    197.85x = 295.26 × 196.74
  4. Step 4: Simplify right side
    197.85x = 58,089.45
  5. Step 5: Solve for x
    x = 58,089.45/197.85
  6. Step 6: Final answer
    x = 293.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.