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Finding the Fourth Proportional to 300.72, 414.56 and 197.04

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Solution

The fourth proportional to 300.72, 414.56 and 197.04 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 414.56 = 197.04 : x
  2. Step 2: Convert to fraction form
    300.72/414.56 = 197.04/x
  3. Step 3: Cross multiply
    300.72x = 414.56 × 197.04
  4. Step 4: Simplify right side
    300.72x = 81,684.90
  5. Step 5: Solve for x
    x = 81,684.90/300.72
  6. Step 6: Final answer
    x = 271.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.