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Finding the Fourth Proportional to 217.09, 325.57 and 78.26

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Solution

The fourth proportional to 217.09, 325.57 and 78.26 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 325.57 = 78.26 : x
  2. Step 2: Convert to fraction form
    217.09/325.57 = 78.26/x
  3. Step 3: Cross multiply
    217.09x = 325.57 × 78.26
  4. Step 4: Simplify right side
    217.09x = 25,479.11
  5. Step 5: Solve for x
    x = 25,479.11/217.09
  6. Step 6: Final answer
    x = 117.37

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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.