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Finding the Fourth Proportional to 198.58, 299.26 and 189.32

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Solution

The fourth proportional to 198.58, 299.26 and 189.32 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.58 : 299.26 = 189.32 : x
  2. Step 2: Convert to fraction form
    198.58/299.26 = 189.32/x
  3. Step 3: Cross multiply
    198.58x = 299.26 × 189.32
  4. Step 4: Simplify right side
    198.58x = 56,653.93
  5. Step 5: Solve for x
    x = 56,653.93/198.58
  6. Step 6: Final answer
    x = 285.30

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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.