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Finding the Fourth Proportional to 433.23, 650.16 and 227.76

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Solution

The fourth proportional to 433.23, 650.16 and 227.76 is: 341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.23 : 650.16 = 227.76 : x
  2. Step 2: Convert to fraction form
    433.23/650.16 = 227.76/x
  3. Step 3: Cross multiply
    433.23x = 650.16 × 227.76
  4. Step 4: Simplify right side
    433.23x = 148,080.44
  5. Step 5: Solve for x
    x = 148,080.44/433.23
  6. Step 6: Final answer
    x = 341.81

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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.