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Finding the Fourth Proportional to 198.72, 295.98 and 189.83

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Solution

The fourth proportional to 198.72, 295.98 and 189.83 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 295.98 = 189.83 : x
  2. Step 2: Convert to fraction form
    198.72/295.98 = 189.83/x
  3. Step 3: Cross multiply
    198.72x = 295.98 × 189.83
  4. Step 4: Simplify right side
    198.72x = 56,184.93
  5. Step 5: Solve for x
    x = 56,184.93/198.72
  6. Step 6: Final answer
    x = 282.74

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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.