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Finding the Fourth Proportional to 290.94, 400.83 and 217.11

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Solution

The fourth proportional to 290.94, 400.83 and 217.11 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 400.83 = 217.11 : x
  2. Step 2: Convert to fraction form
    290.94/400.83 = 217.11/x
  3. Step 3: Cross multiply
    290.94x = 400.83 × 217.11
  4. Step 4: Simplify right side
    290.94x = 87,024.20
  5. Step 5: Solve for x
    x = 87,024.20/290.94
  6. Step 6: Final answer
    x = 299.11

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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.