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Finding the Fourth Proportional to 382.38, 573.57 and 310.74

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Solution

The fourth proportional to 382.38, 573.57 and 310.74 is: 466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 573.57 = 310.74 : x
  2. Step 2: Convert to fraction form
    382.38/573.57 = 310.74/x
  3. Step 3: Cross multiply
    382.38x = 573.57 × 310.74
  4. Step 4: Simplify right side
    382.38x = 178,231.14
  5. Step 5: Solve for x
    x = 178,231.14/382.38
  6. Step 6: Final answer
    x = 466.11

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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.