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Finding the Fourth Proportional to 111.96, 155.16 and 104.94

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Solution

The fourth proportional to 111.96, 155.16 and 104.94 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 155.16 = 104.94 : x
  2. Step 2: Convert to fraction form
    111.96/155.16 = 104.94/x
  3. Step 3: Cross multiply
    111.96x = 155.16 × 104.94
  4. Step 4: Simplify right side
    111.96x = 16,282.49
  5. Step 5: Solve for x
    x = 16,282.49/111.96
  6. Step 6: Final answer
    x = 145.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.