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Finding the Fourth Proportional to 433.16, 648.34 and 227.44

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Solution

The fourth proportional to 433.16, 648.34 and 227.44 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 648.34 = 227.44 : x
  2. Step 2: Convert to fraction form
    433.16/648.34 = 227.44/x
  3. Step 3: Cross multiply
    433.16x = 648.34 × 227.44
  4. Step 4: Simplify right side
    433.16x = 147,455.21
  5. Step 5: Solve for x
    x = 147,455.21/433.16
  6. Step 6: Final answer
    x = 340.42

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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.