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Finding the Fourth Proportional to 432.12, 648.45 and 226.83

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Solution

The fourth proportional to 432.12, 648.45 and 226.83 is: 340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 648.45 = 226.83 : x
  2. Step 2: Convert to fraction form
    432.12/648.45 = 226.83/x
  3. Step 3: Cross multiply
    432.12x = 648.45 × 226.83
  4. Step 4: Simplify right side
    432.12x = 147,086.78
  5. Step 5: Solve for x
    x = 147,086.78/432.12
  6. Step 6: Final answer
    x = 340.39

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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.