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Finding the Fourth Proportional to 197.58, 294.96 and 190.83

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Solution

The fourth proportional to 197.58, 294.96 and 190.83 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 294.96 = 190.83 : x
  2. Step 2: Convert to fraction form
    197.58/294.96 = 190.83/x
  3. Step 3: Cross multiply
    197.58x = 294.96 × 190.83
  4. Step 4: Simplify right side
    197.58x = 56,287.22
  5. Step 5: Solve for x
    x = 56,287.22/197.58
  6. Step 6: Final answer
    x = 284.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.