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Finding the Fourth Proportional to 197.09, 297.09 and 188.85

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Solution

The fourth proportional to 197.09, 297.09 and 188.85 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 297.09 = 188.85 : x
  2. Step 2: Convert to fraction form
    197.09/297.09 = 188.85/x
  3. Step 3: Cross multiply
    197.09x = 297.09 × 188.85
  4. Step 4: Simplify right side
    197.09x = 56,105.45
  5. Step 5: Solve for x
    x = 56,105.45/197.09
  6. Step 6: Final answer
    x = 284.67

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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.