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Finding the Fourth Proportional to 382.75, 528.02 and 225.33

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Solution

The fourth proportional to 382.75, 528.02 and 225.33 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 528.02 = 225.33 : x
  2. Step 2: Convert to fraction form
    382.75/528.02 = 225.33/x
  3. Step 3: Cross multiply
    382.75x = 528.02 × 225.33
  4. Step 4: Simplify right side
    382.75x = 118,978.75
  5. Step 5: Solve for x
    x = 118,978.75/382.75
  6. Step 6: Final answer
    x = 310.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.