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Finding the Fourth Proportional to 382.94, 528.47 and 217.19

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Solution

The fourth proportional to 382.94, 528.47 and 217.19 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 528.47 = 217.19 : x
  2. Step 2: Convert to fraction form
    382.94/528.47 = 217.19/x
  3. Step 3: Cross multiply
    382.94x = 528.47 × 217.19
  4. Step 4: Simplify right side
    382.94x = 114,777.70
  5. Step 5: Solve for x
    x = 114,777.70/382.94
  6. Step 6: Final answer
    x = 299.73

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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.