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Finding the Fourth Proportional to 231.79, 321.53 and 219.49

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Solution

The fourth proportional to 231.79, 321.53 and 219.49 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.79 : 321.53 = 219.49 : x
  2. Step 2: Convert to fraction form
    231.79/321.53 = 219.49/x
  3. Step 3: Cross multiply
    231.79x = 321.53 × 219.49
  4. Step 4: Simplify right side
    231.79x = 70,571.01
  5. Step 5: Solve for x
    x = 70,571.01/231.79
  6. Step 6: Final answer
    x = 304.47

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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.