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Finding the Fourth Proportional to 433.16, 648.50 and 227.24

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Solution

The fourth proportional to 433.16, 648.50 and 227.24 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 648.50 = 227.24 : x
  2. Step 2: Convert to fraction form
    433.16/648.50 = 227.24/x
  3. Step 3: Cross multiply
    433.16x = 648.50 × 227.24
  4. Step 4: Simplify right side
    433.16x = 147,365.14
  5. Step 5: Solve for x
    x = 147,365.14/433.16
  6. Step 6: Final answer
    x = 340.21

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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.