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Finding the Fourth Proportional to 217.45, 324.34 and 202.33

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Solution

The fourth proportional to 217.45, 324.34 and 202.33 is: 301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.45 : 324.34 = 202.33 : x
  2. Step 2: Convert to fraction form
    217.45/324.34 = 202.33/x
  3. Step 3: Cross multiply
    217.45x = 324.34 × 202.33
  4. Step 4: Simplify right side
    217.45x = 65,624.22
  5. Step 5: Solve for x
    x = 65,624.22/217.45
  6. Step 6: Final answer
    x = 301.79

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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.