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Finding the Fourth Proportional to 336.59, 504.61 and 199.70

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Solution

The fourth proportional to 336.59, 504.61 and 199.70 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.59 : 504.61 = 199.70 : x
  2. Step 2: Convert to fraction form
    336.59/504.61 = 199.70/x
  3. Step 3: Cross multiply
    336.59x = 504.61 × 199.70
  4. Step 4: Simplify right side
    336.59x = 100,770.62
  5. Step 5: Solve for x
    x = 100,770.62/336.59
  6. Step 6: Final answer
    x = 299.39

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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.