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Finding the Fourth Proportional to 382.88, 528.44 and 227.63

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Solution

The fourth proportional to 382.88, 528.44 and 227.63 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 528.44 = 227.63 : x
  2. Step 2: Convert to fraction form
    382.88/528.44 = 227.63/x
  3. Step 3: Cross multiply
    382.88x = 528.44 × 227.63
  4. Step 4: Simplify right side
    382.88x = 120,285.02
  5. Step 5: Solve for x
    x = 120,285.02/382.88
  6. Step 6: Final answer
    x = 314.16

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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.