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Finding the Fourth Proportional to 217.09, 324.86 and 188.30

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Solution

The fourth proportional to 217.09, 324.86 and 188.30 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 324.86 = 188.30 : x
  2. Step 2: Convert to fraction form
    217.09/324.86 = 188.30/x
  3. Step 3: Cross multiply
    217.09x = 324.86 × 188.30
  4. Step 4: Simplify right side
    217.09x = 61,168.57
  5. Step 5: Solve for x
    x = 61,168.57/217.09
  6. Step 6: Final answer
    x = 281.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.