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Finding the Fourth Proportional to 216.84, 323.07 and 211.98

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Solution

The fourth proportional to 216.84, 323.07 and 211.98 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 323.07 = 211.98 : x
  2. Step 2: Convert to fraction form
    216.84/323.07 = 211.98/x
  3. Step 3: Cross multiply
    216.84x = 323.07 × 211.98
  4. Step 4: Simplify right side
    216.84x = 68,484.38
  5. Step 5: Solve for x
    x = 68,484.38/216.84
  6. Step 6: Final answer
    x = 315.83

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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.