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Finding the Fourth Proportional to 225.44, 338.52 and 216.08

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Solution

The fourth proportional to 225.44, 338.52 and 216.08 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 338.52 = 216.08 : x
  2. Step 2: Convert to fraction form
    225.44/338.52 = 216.08/x
  3. Step 3: Cross multiply
    225.44x = 338.52 × 216.08
  4. Step 4: Simplify right side
    225.44x = 73,147.40
  5. Step 5: Solve for x
    x = 73,147.40/225.44
  6. Step 6: Final answer
    x = 324.47

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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.