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Finding the Fourth Proportional to 231.83, 321.38 and 219.50

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Solution

The fourth proportional to 231.83, 321.38 and 219.50 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.83 : 321.38 = 219.50 : x
  2. Step 2: Convert to fraction form
    231.83/321.38 = 219.50/x
  3. Step 3: Cross multiply
    231.83x = 321.38 × 219.50
  4. Step 4: Simplify right side
    231.83x = 70,541.85
  5. Step 5: Solve for x
    x = 70,541.85/231.83
  6. Step 6: Final answer
    x = 304.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.