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Finding the Fourth Proportional to 217.39, 325.31 and 171.42

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Solution

The fourth proportional to 217.39, 325.31 and 171.42 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.39 : 325.31 = 171.42 : x
  2. Step 2: Convert to fraction form
    217.39/325.31 = 171.42/x
  3. Step 3: Cross multiply
    217.39x = 325.31 × 171.42
  4. Step 4: Simplify right side
    217.39x = 55,764.64
  5. Step 5: Solve for x
    x = 55,764.64/217.39
  6. Step 6: Final answer
    x = 256.52

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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.