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Finding the Fourth Proportional to 246.96, 369.96 and 198.31

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Solution

The fourth proportional to 246.96, 369.96 and 198.31 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 369.96 = 198.31 : x
  2. Step 2: Convert to fraction form
    246.96/369.96 = 198.31/x
  3. Step 3: Cross multiply
    246.96x = 369.96 × 198.31
  4. Step 4: Simplify right side
    246.96x = 73,366.77
  5. Step 5: Solve for x
    x = 73,366.77/246.96
  6. Step 6: Final answer
    x = 297.08

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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.