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Finding the Fourth Proportional to 197.79, 298.12 and 186.63

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Solution

The fourth proportional to 197.79, 298.12 and 186.63 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.79 : 298.12 = 186.63 : x
  2. Step 2: Convert to fraction form
    197.79/298.12 = 186.63/x
  3. Step 3: Cross multiply
    197.79x = 298.12 × 186.63
  4. Step 4: Simplify right side
    197.79x = 55,638.14
  5. Step 5: Solve for x
    x = 55,638.14/197.79
  6. Step 6: Final answer
    x = 281.30

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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.