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Finding the Fourth Proportional to 382.26, 570.21 and 338.52

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Solution

The fourth proportional to 382.26, 570.21 and 338.52 is: 504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.26 : 570.21 = 338.52 : x
  2. Step 2: Convert to fraction form
    382.26/570.21 = 338.52/x
  3. Step 3: Cross multiply
    382.26x = 570.21 × 338.52
  4. Step 4: Simplify right side
    382.26x = 193,027.49
  5. Step 5: Solve for x
    x = 193,027.49/382.26
  6. Step 6: Final answer
    x = 504.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.