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Finding the Fourth Proportional to 111.96, 153.60 and 110.34

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Solution

The fourth proportional to 111.96, 153.60 and 110.34 is: 151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 153.60 = 110.34 : x
  2. Step 2: Convert to fraction form
    111.96/153.60 = 110.34/x
  3. Step 3: Cross multiply
    111.96x = 153.60 × 110.34
  4. Step 4: Simplify right side
    111.96x = 16,948.22
  5. Step 5: Solve for x
    x = 16,948.22/111.96
  6. Step 6: Final answer
    x = 151.38

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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.