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Finding the Fourth Proportional to 199.58, 301.13 and 197.96

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Solution

The fourth proportional to 199.58, 301.13 and 197.96 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.58 : 301.13 = 197.96 : x
  2. Step 2: Convert to fraction form
    199.58/301.13 = 197.96/x
  3. Step 3: Cross multiply
    199.58x = 301.13 × 197.96
  4. Step 4: Simplify right side
    199.58x = 59,611.69
  5. Step 5: Solve for x
    x = 59,611.69/199.58
  6. Step 6: Final answer
    x = 298.69

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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.