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Finding the Fourth Proportional to 216.83, 323.13 and 212.21

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Solution

The fourth proportional to 216.83, 323.13 and 212.21 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 323.13 = 212.21 : x
  2. Step 2: Convert to fraction form
    216.83/323.13 = 212.21/x
  3. Step 3: Cross multiply
    216.83x = 323.13 × 212.21
  4. Step 4: Simplify right side
    216.83x = 68,569.80
  5. Step 5: Solve for x
    x = 68,569.80/216.83
  6. Step 6: Final answer
    x = 316.24

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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.