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Finding the Fourth Proportional to 213.73, 321.80 and 188.21

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Solution

The fourth proportional to 213.73, 321.80 and 188.21 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.73 : 321.80 = 188.21 : x
  2. Step 2: Convert to fraction form
    213.73/321.80 = 188.21/x
  3. Step 3: Cross multiply
    213.73x = 321.80 × 188.21
  4. Step 4: Simplify right side
    213.73x = 60,565.84
  5. Step 5: Solve for x
    x = 60,565.84/213.73
  6. Step 6: Final answer
    x = 283.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.