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Finding the Fourth Proportional to 217.32, 324.39 and 188.63

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Solution

The fourth proportional to 217.32, 324.39 and 188.63 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 324.39 = 188.63 : x
  2. Step 2: Convert to fraction form
    217.32/324.39 = 188.63/x
  3. Step 3: Cross multiply
    217.32x = 324.39 × 188.63
  4. Step 4: Simplify right side
    217.32x = 61,190.50
  5. Step 5: Solve for x
    x = 61,190.50/217.32
  6. Step 6: Final answer
    x = 281.57

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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.