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Finding the Fourth Proportional to 98.09, 146.45 and 68.97

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Solution

The fourth proportional to 98.09, 146.45 and 68.97 is: 102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 146.45 = 68.97 : x
  2. Step 2: Convert to fraction form
    98.09/146.45 = 68.97/x
  3. Step 3: Cross multiply
    98.09x = 146.45 × 68.97
  4. Step 4: Simplify right side
    98.09x = 10,100.66
  5. Step 5: Solve for x
    x = 10,100.66/98.09
  6. Step 6: Final answer
    x = 102.97

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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.