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Finding the Fourth Proportional to 299.05, 411.83 and 216.03

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Solution

The fourth proportional to 299.05, 411.83 and 216.03 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.05 : 411.83 = 216.03 : x
  2. Step 2: Convert to fraction form
    299.05/411.83 = 216.03/x
  3. Step 3: Cross multiply
    299.05x = 411.83 × 216.03
  4. Step 4: Simplify right side
    299.05x = 88,966.65
  5. Step 5: Solve for x
    x = 88,966.65/299.05
  6. Step 6: Final answer
    x = 297.50

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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.