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Finding the Fourth Proportional to 157.75, 236.16 and 111.31

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Solution

The fourth proportional to 157.75, 236.16 and 111.31 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.75 : 236.16 = 111.31 : x
  2. Step 2: Convert to fraction form
    157.75/236.16 = 111.31/x
  3. Step 3: Cross multiply
    157.75x = 236.16 × 111.31
  4. Step 4: Simplify right side
    157.75x = 26,286.38
  5. Step 5: Solve for x
    x = 26,286.38/157.75
  6. Step 6: Final answer
    x = 166.64

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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.