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Finding the Fourth Proportional to 338.44, 506.94 and 313.96

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Solution

The fourth proportional to 338.44, 506.94 and 313.96 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 506.94 = 313.96 : x
  2. Step 2: Convert to fraction form
    338.44/506.94 = 313.96/x
  3. Step 3: Cross multiply
    338.44x = 506.94 × 313.96
  4. Step 4: Simplify right side
    338.44x = 159,158.88
  5. Step 5: Solve for x
    x = 159,158.88/338.44
  6. Step 6: Final answer
    x = 470.27

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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.