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Finding the Fourth Proportional to 432.43, 648.64 and 107.80

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Solution

The fourth proportional to 432.43, 648.64 and 107.80 is: 161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.43 : 648.64 = 107.80 : x
  2. Step 2: Convert to fraction form
    432.43/648.64 = 107.80/x
  3. Step 3: Cross multiply
    432.43x = 648.64 × 107.80
  4. Step 4: Simplify right side
    432.43x = 69,923.39
  5. Step 5: Solve for x
    x = 69,923.39/432.43
  6. Step 6: Final answer
    x = 161.70

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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.