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Finding the Fourth Proportional to 216.74, 323.53 and 191

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Solution

The fourth proportional to 216.74, 323.53 and 191 is: 285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 323.53 = 191 : x
  2. Step 2: Convert to fraction form
    216.74/323.53 = 191/x
  3. Step 3: Cross multiply
    216.74x = 323.53 × 191
  4. Step 4: Simplify right side
    216.74x = 61,794.23
  5. Step 5: Solve for x
    x = 61,794.23/216.74
  6. Step 6: Final answer
    x = 285.11

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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.