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Finding the Fourth Proportional to 157.09, 234.67 and 113.41

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Solution

The fourth proportional to 157.09, 234.67 and 113.41 is: 169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.09 : 234.67 = 113.41 : x
  2. Step 2: Convert to fraction form
    157.09/234.67 = 113.41/x
  3. Step 3: Cross multiply
    157.09x = 234.67 × 113.41
  4. Step 4: Simplify right side
    157.09x = 26,613.92
  5. Step 5: Solve for x
    x = 26,613.92/157.09
  6. Step 6: Final answer
    x = 169.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.