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Finding the Fourth Proportional to 213.81, 321.95 and 181.42

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Solution

The fourth proportional to 213.81, 321.95 and 181.42 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.81 : 321.95 = 181.42 : x
  2. Step 2: Convert to fraction form
    213.81/321.95 = 181.42/x
  3. Step 3: Cross multiply
    213.81x = 321.95 × 181.42
  4. Step 4: Simplify right side
    213.81x = 58,408.17
  5. Step 5: Solve for x
    x = 58,408.17/213.81
  6. Step 6: Final answer
    x = 273.18

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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.