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Finding the Fourth Proportional to 382.76, 574.32 and 261.44

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Solution

The fourth proportional to 382.76, 574.32 and 261.44 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.76 : 574.32 = 261.44 : x
  2. Step 2: Convert to fraction form
    382.76/574.32 = 261.44/x
  3. Step 3: Cross multiply
    382.76x = 574.32 × 261.44
  4. Step 4: Simplify right side
    382.76x = 150,150.22
  5. Step 5: Solve for x
    x = 150,150.22/382.76
  6. Step 6: Final answer
    x = 392.28

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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.