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Finding the Fourth Proportional to 213.95, 321.33 and 122.82

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Solution

The fourth proportional to 213.95, 321.33 and 122.82 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 321.33 = 122.82 : x
  2. Step 2: Convert to fraction form
    213.95/321.33 = 122.82/x
  3. Step 3: Cross multiply
    213.95x = 321.33 × 122.82
  4. Step 4: Simplify right side
    213.95x = 39,465.14
  5. Step 5: Solve for x
    x = 39,465.14/213.95
  6. Step 6: Final answer
    x = 184.46

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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.