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Finding the Fourth Proportional to 197.90, 298.20 and 164.40

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Solution

The fourth proportional to 197.90, 298.20 and 164.40 is: 247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 298.20 = 164.40 : x
  2. Step 2: Convert to fraction form
    197.90/298.20 = 164.40/x
  3. Step 3: Cross multiply
    197.90x = 298.20 × 164.40
  4. Step 4: Simplify right side
    197.90x = 49,024.08
  5. Step 5: Solve for x
    x = 49,024.08/197.90
  6. Step 6: Final answer
    x = 247.72

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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.