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Finding the Fourth Proportional to 213.88, 321.30 and 207.64

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Solution

The fourth proportional to 213.88, 321.30 and 207.64 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 321.30 = 207.64 : x
  2. Step 2: Convert to fraction form
    213.88/321.30 = 207.64/x
  3. Step 3: Cross multiply
    213.88x = 321.30 × 207.64
  4. Step 4: Simplify right side
    213.88x = 66,714.73
  5. Step 5: Solve for x
    x = 66,714.73/213.88
  6. Step 6: Final answer
    x = 311.93

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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.