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Finding the Fourth Proportional to 217.32, 325.78 and 80.26

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Solution

The fourth proportional to 217.32, 325.78 and 80.26 is: 120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 325.78 = 80.26 : x
  2. Step 2: Convert to fraction form
    217.32/325.78 = 80.26/x
  3. Step 3: Cross multiply
    217.32x = 325.78 × 80.26
  4. Step 4: Simplify right side
    217.32x = 26,147.31
  5. Step 5: Solve for x
    x = 26,147.31/217.32
  6. Step 6: Final answer
    x = 120.32

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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.