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Finding the Fourth Proportional to 382.78, 528.27 and 216.99

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Solution

The fourth proportional to 382.78, 528.27 and 216.99 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 528.27 = 216.99 : x
  2. Step 2: Convert to fraction form
    382.78/528.27 = 216.99/x
  3. Step 3: Cross multiply
    382.78x = 528.27 × 216.99
  4. Step 4: Simplify right side
    382.78x = 114,629.31
  5. Step 5: Solve for x
    x = 114,629.31/382.78
  6. Step 6: Final answer
    x = 299.47

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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.