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Finding the Fourth Proportional to 216.33, 326.10 and 202.22

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Solution

The fourth proportional to 216.33, 326.10 and 202.22 is: 304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.33 : 326.10 = 202.22 : x
  2. Step 2: Convert to fraction form
    216.33/326.10 = 202.22/x
  3. Step 3: Cross multiply
    216.33x = 326.10 × 202.22
  4. Step 4: Simplify right side
    216.33x = 65,943.53
  5. Step 5: Solve for x
    x = 65,943.53/216.33
  6. Step 6: Final answer
    x = 304.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.