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Finding the Fourth Proportional to 197.87, 298.28 and 184.66

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Solution

The fourth proportional to 197.87, 298.28 and 184.66 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 298.28 = 184.66 : x
  2. Step 2: Convert to fraction form
    197.87/298.28 = 184.66/x
  3. Step 3: Cross multiply
    197.87x = 298.28 × 184.66
  4. Step 4: Simplify right side
    197.87x = 55,080.10
  5. Step 5: Solve for x
    x = 55,080.10/197.87
  6. Step 6: Final answer
    x = 278.37

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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.