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Finding the Fourth Proportional to 168.78, 233.01 and 113.81

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Solution

The fourth proportional to 168.78, 233.01 and 113.81 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 233.01 = 113.81 : x
  2. Step 2: Convert to fraction form
    168.78/233.01 = 113.81/x
  3. Step 3: Cross multiply
    168.78x = 233.01 × 113.81
  4. Step 4: Simplify right side
    168.78x = 26,519.01
  5. Step 5: Solve for x
    x = 26,519.01/168.78
  6. Step 6: Final answer
    x = 157.12

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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.