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Finding the Fourth Proportional to 168.50, 232.25 and 133.67

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Solution

The fourth proportional to 168.50, 232.25 and 133.67 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 232.25 = 133.67 : x
  2. Step 2: Convert to fraction form
    168.50/232.25 = 133.67/x
  3. Step 3: Cross multiply
    168.50x = 232.25 × 133.67
  4. Step 4: Simplify right side
    168.50x = 31,043.03
  5. Step 5: Solve for x
    x = 31,043.03/168.50
  6. Step 6: Final answer
    x = 184.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.