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Finding the Fourth Proportional to 213.90, 321.46 and 199.46

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Solution

The fourth proportional to 213.90, 321.46 and 199.46 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 321.46 = 199.46 : x
  2. Step 2: Convert to fraction form
    213.90/321.46 = 199.46/x
  3. Step 3: Cross multiply
    213.90x = 321.46 × 199.46
  4. Step 4: Simplify right side
    213.90x = 64,116.31
  5. Step 5: Solve for x
    x = 64,116.31/213.90
  6. Step 6: Final answer
    x = 299.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.