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Finding the Fourth Proportional to 216.74, 323.30 and 199.22

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Solution

The fourth proportional to 216.74, 323.30 and 199.22 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 323.30 = 199.22 : x
  2. Step 2: Convert to fraction form
    216.74/323.30 = 199.22/x
  3. Step 3: Cross multiply
    216.74x = 323.30 × 199.22
  4. Step 4: Simplify right side
    216.74x = 64,407.83
  5. Step 5: Solve for x
    x = 64,407.83/216.74
  6. Step 6: Final answer
    x = 297.17

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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.