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Finding the Fourth Proportional to 197.66, 297.03 and 185.78

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Solution

The fourth proportional to 197.66, 297.03 and 185.78 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.66 : 297.03 = 185.78 : x
  2. Step 2: Convert to fraction form
    197.66/297.03 = 185.78/x
  3. Step 3: Cross multiply
    197.66x = 297.03 × 185.78
  4. Step 4: Simplify right side
    197.66x = 55,182.23
  5. Step 5: Solve for x
    x = 55,182.23/197.66
  6. Step 6: Final answer
    x = 279.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.