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Finding the Fourth Proportional to 246, 369.12 and 198

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Solution

The fourth proportional to 246, 369.12 and 198 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246 : 369.12 = 198 : x
  2. Step 2: Convert to fraction form
    246/369.12 = 198/x
  3. Step 3: Cross multiply
    246x = 369.12 × 198
  4. Step 4: Simplify right side
    246x = 73,085.76
  5. Step 5: Solve for x
    x = 73,085.76/246
  6. Step 6: Final answer
    x = 297.10

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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.