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Finding the Fourth Proportional to 217.03, 324.99 and 152.23

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Solution

The fourth proportional to 217.03, 324.99 and 152.23 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.03 : 324.99 = 152.23 : x
  2. Step 2: Convert to fraction form
    217.03/324.99 = 152.23/x
  3. Step 3: Cross multiply
    217.03x = 324.99 × 152.23
  4. Step 4: Simplify right side
    217.03x = 49,473.23
  5. Step 5: Solve for x
    x = 49,473.23/217.03
  6. Step 6: Final answer
    x = 227.96

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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.