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Finding the Fourth Proportional to 432.50, 648.74 and 107.86

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Solution

The fourth proportional to 432.50, 648.74 and 107.86 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.50 : 648.74 = 107.86 : x
  2. Step 2: Convert to fraction form
    432.50/648.74 = 107.86/x
  3. Step 3: Cross multiply
    432.50x = 648.74 × 107.86
  4. Step 4: Simplify right side
    432.50x = 69,970.94
  5. Step 5: Solve for x
    x = 69,970.94/432.50
  6. Step 6: Final answer
    x = 161.78

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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.