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Finding the Fourth Proportional to 382.76, 573.48 and 257.44

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Solution

The fourth proportional to 382.76, 573.48 and 257.44 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 573.48 = 257.44 : x
  2. Step 2: Convert to fraction form
    382.76/573.48 = 257.44/x
  3. Step 3: Cross multiply
    382.76x = 573.48 × 257.44
  4. Step 4: Simplify right side
    382.76x = 147,635.40
  5. Step 5: Solve for x
    x = 147,635.40/382.76
  6. Step 6: Final answer
    x = 385.72

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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.