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Finding the Fourth Proportional to 112.38, 153.96 and 108.23

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Solution

The fourth proportional to 112.38, 153.96 and 108.23 is: 148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 153.96 = 108.23 : x
  2. Step 2: Convert to fraction form
    112.38/153.96 = 108.23/x
  3. Step 3: Cross multiply
    112.38x = 153.96 × 108.23
  4. Step 4: Simplify right side
    112.38x = 16,662.32
  5. Step 5: Solve for x
    x = 16,662.32/112.38
  6. Step 6: Final answer
    x = 148.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.