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Finding the Fourth Proportional to 98.38, 146.48 and 92.44

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Solution

The fourth proportional to 98.38, 146.48 and 92.44 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 146.48 = 92.44 : x
  2. Step 2: Convert to fraction form
    98.38/146.48 = 92.44/x
  3. Step 3: Cross multiply
    98.38x = 146.48 × 92.44
  4. Step 4: Simplify right side
    98.38x = 13,540.61
  5. Step 5: Solve for x
    x = 13,540.61/98.38
  6. Step 6: Final answer
    x = 137.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.