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Finding the Fourth Proportional to 198.65, 296.46 and 190.70

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Solution

The fourth proportional to 198.65, 296.46 and 190.70 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 296.46 = 190.70 : x
  2. Step 2: Convert to fraction form
    198.65/296.46 = 190.70/x
  3. Step 3: Cross multiply
    198.65x = 296.46 × 190.70
  4. Step 4: Simplify right side
    198.65x = 56,535.66
  5. Step 5: Solve for x
    x = 56,535.66/198.65
  6. Step 6: Final answer
    x = 284.61

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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.