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Finding the Fourth Proportional to 157.22, 236.67 and 111.89

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Solution

The fourth proportional to 157.22, 236.67 and 111.89 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 236.67 = 111.89 : x
  2. Step 2: Convert to fraction form
    157.22/236.67 = 111.89/x
  3. Step 3: Cross multiply
    157.22x = 236.67 × 111.89
  4. Step 4: Simplify right side
    157.22x = 26,480.16
  5. Step 5: Solve for x
    x = 26,480.16/157.22
  6. Step 6: Final answer
    x = 168.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.