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Finding the Fourth Proportional to 217.51, 325.40 and 168.38

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Solution

The fourth proportional to 217.51, 325.40 and 168.38 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 325.40 = 168.38 : x
  2. Step 2: Convert to fraction form
    217.51/325.40 = 168.38/x
  3. Step 3: Cross multiply
    217.51x = 325.40 × 168.38
  4. Step 4: Simplify right side
    217.51x = 54,790.85
  5. Step 5: Solve for x
    x = 54,790.85/217.51
  6. Step 6: Final answer
    x = 251.90

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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.