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Finding the Fourth Proportional to 217.24, 325.54 and 186.23

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Solution

The fourth proportional to 217.24, 325.54 and 186.23 is: 279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 325.54 = 186.23 : x
  2. Step 2: Convert to fraction form
    217.24/325.54 = 186.23/x
  3. Step 3: Cross multiply
    217.24x = 325.54 × 186.23
  4. Step 4: Simplify right side
    217.24x = 60,625.31
  5. Step 5: Solve for x
    x = 60,625.31/217.24
  6. Step 6: Final answer
    x = 279.07

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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.