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Finding the Fourth Proportional to 231.88, 321.48 and 219.58

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Solution

The fourth proportional to 231.88, 321.48 and 219.58 is: 304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 321.48 = 219.58 : x
  2. Step 2: Convert to fraction form
    231.88/321.48 = 219.58/x
  3. Step 3: Cross multiply
    231.88x = 321.48 × 219.58
  4. Step 4: Simplify right side
    231.88x = 70,590.58
  5. Step 5: Solve for x
    x = 70,590.58/231.88
  6. Step 6: Final answer
    x = 304.43

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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.