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Finding the Fourth Proportional to 285.92, 394.80 and 198.44

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Solution

The fourth proportional to 285.92, 394.80 and 198.44 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.80 = 198.44 : x
  2. Step 2: Convert to fraction form
    285.92/394.80 = 198.44/x
  3. Step 3: Cross multiply
    285.92x = 394.80 × 198.44
  4. Step 4: Simplify right side
    285.92x = 78,344.11
  5. Step 5: Solve for x
    x = 78,344.11/285.92
  6. Step 6: Final answer
    x = 274.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.