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Finding the Fourth Proportional to 336.38, 464.20 and 219.94

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Solution

The fourth proportional to 336.38, 464.20 and 219.94 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.38 : 464.20 = 219.94 : x
  2. Step 2: Convert to fraction form
    336.38/464.20 = 219.94/x
  3. Step 3: Cross multiply
    336.38x = 464.20 × 219.94
  4. Step 4: Simplify right side
    336.38x = 102,094.44
  5. Step 5: Solve for x
    x = 102,094.44/336.38
  6. Step 6: Final answer
    x = 303.51

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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.