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Finding the Fourth Proportional to 336.56, 504.48 and 199.64

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Solution

The fourth proportional to 336.56, 504.48 and 199.64 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.56 : 504.48 = 199.64 : x
  2. Step 2: Convert to fraction form
    336.56/504.48 = 199.64/x
  3. Step 3: Cross multiply
    336.56x = 504.48 × 199.64
  4. Step 4: Simplify right side
    336.56x = 100,714.39
  5. Step 5: Solve for x
    x = 100,714.39/336.56
  6. Step 6: Final answer
    x = 299.25

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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.