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Finding the Fourth Proportional to 216.19, 321.81 and 206.23

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Solution

The fourth proportional to 216.19, 321.81 and 206.23 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 321.81 = 206.23 : x
  2. Step 2: Convert to fraction form
    216.19/321.81 = 206.23/x
  3. Step 3: Cross multiply
    216.19x = 321.81 × 206.23
  4. Step 4: Simplify right side
    216.19x = 66,366.88
  5. Step 5: Solve for x
    x = 66,366.88/216.19
  6. Step 6: Final answer
    x = 306.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.