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Finding the Fourth Proportional to 336.08, 463.72 and 198

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Solution

The fourth proportional to 336.08, 463.72 and 198 is: 273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 463.72 = 198 : x
  2. Step 2: Convert to fraction form
    336.08/463.72 = 198/x
  3. Step 3: Cross multiply
    336.08x = 463.72 × 198
  4. Step 4: Simplify right side
    336.08x = 91,816.56
  5. Step 5: Solve for x
    x = 91,816.56/336.08
  6. Step 6: Final answer
    x = 273.20

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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.