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Finding the Fourth Proportional to 285.82, 428.72 and 198.90

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Solution

The fourth proportional to 285.82, 428.72 and 198.90 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.82 : 428.72 = 198.90 : x
  2. Step 2: Convert to fraction form
    285.82/428.72 = 198.90/x
  3. Step 3: Cross multiply
    285.82x = 428.72 × 198.90
  4. Step 4: Simplify right side
    285.82x = 85,271.41
  5. Step 5: Solve for x
    x = 85,271.41/285.82
  6. Step 6: Final answer
    x = 298.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.