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Finding the Fourth Proportional to 394.04, 591.24 and 198.94

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Solution

The fourth proportional to 394.04, 591.24 and 198.94 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 591.24 = 198.94 : x
  2. Step 2: Convert to fraction form
    394.04/591.24 = 198.94/x
  3. Step 3: Cross multiply
    394.04x = 591.24 × 198.94
  4. Step 4: Simplify right side
    394.04x = 117,621.29
  5. Step 5: Solve for x
    x = 117,621.29/394.04
  6. Step 6: Final answer
    x = 298.50

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Why These Related Problems?

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