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Finding the Fourth Proportional to 432.72, 648.54 and 226.78

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Solution

The fourth proportional to 432.72, 648.54 and 226.78 is: 339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 648.54 = 226.78 : x
  2. Step 2: Convert to fraction form
    432.72/648.54 = 226.78/x
  3. Step 3: Cross multiply
    432.72x = 648.54 × 226.78
  4. Step 4: Simplify right side
    432.72x = 147,074.28
  5. Step 5: Solve for x
    x = 147,074.28/432.72
  6. Step 6: Final answer
    x = 339.88

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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.