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Finding the Fourth Proportional to 246.21, 338.38 and 199.50

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Solution

The fourth proportional to 246.21, 338.38 and 199.50 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.21 : 338.38 = 199.50 : x
  2. Step 2: Convert to fraction form
    246.21/338.38 = 199.50/x
  3. Step 3: Cross multiply
    246.21x = 338.38 × 199.50
  4. Step 4: Simplify right side
    246.21x = 67,506.81
  5. Step 5: Solve for x
    x = 67,506.81/246.21
  6. Step 6: Final answer
    x = 274.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.