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Finding the Fourth Proportional to 197.98, 298.27 and 155.42

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Solution

The fourth proportional to 197.98, 298.27 and 155.42 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 298.27 = 155.42 : x
  2. Step 2: Convert to fraction form
    197.98/298.27 = 155.42/x
  3. Step 3: Cross multiply
    197.98x = 298.27 × 155.42
  4. Step 4: Simplify right side
    197.98x = 46,356.35
  5. Step 5: Solve for x
    x = 46,356.35/197.98
  6. Step 6: Final answer
    x = 234.15

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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.