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Finding the Fourth Proportional to 433.08, 648.72 and 227.52

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Solution

The fourth proportional to 433.08, 648.72 and 227.52 is: 340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 648.72 = 227.52 : x
  2. Step 2: Convert to fraction form
    433.08/648.72 = 227.52/x
  3. Step 3: Cross multiply
    433.08x = 648.72 × 227.52
  4. Step 4: Simplify right side
    433.08x = 147,596.77
  5. Step 5: Solve for x
    x = 147,596.77/433.08
  6. Step 6: Final answer
    x = 340.81

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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.