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Finding the Fourth Proportional to 336.11, 504.21 and 199.31

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Solution

The fourth proportional to 336.11, 504.21 and 199.31 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.11 : 504.21 = 199.31 : x
  2. Step 2: Convert to fraction form
    336.11/504.21 = 199.31/x
  3. Step 3: Cross multiply
    336.11x = 504.21 × 199.31
  4. Step 4: Simplify right side
    336.11x = 100,494.10
  5. Step 5: Solve for x
    x = 100,494.10/336.11
  6. Step 6: Final answer
    x = 298.99

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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.