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Finding the Fourth Proportional to 217.80, 324.99 and 185.16

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Solution

The fourth proportional to 217.80, 324.99 and 185.16 is: 276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.80 : 324.99 = 185.16 : x
  2. Step 2: Convert to fraction form
    217.80/324.99 = 185.16/x
  3. Step 3: Cross multiply
    217.80x = 324.99 × 185.16
  4. Step 4: Simplify right side
    217.80x = 60,175.15
  5. Step 5: Solve for x
    x = 60,175.15/217.80
  6. Step 6: Final answer
    x = 276.29

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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.