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Finding the Fourth Proportional to 216.96, 323.70 and 206.66

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Solution

The fourth proportional to 216.96, 323.70 and 206.66 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 323.70 = 206.66 : x
  2. Step 2: Convert to fraction form
    216.96/323.70 = 206.66/x
  3. Step 3: Cross multiply
    216.96x = 323.70 × 206.66
  4. Step 4: Simplify right side
    216.96x = 66,895.84
  5. Step 5: Solve for x
    x = 66,895.84/216.96
  6. Step 6: Final answer
    x = 308.33

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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.