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Finding the Fourth Proportional to 98.07, 146.84 and 80.79

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Solution

The fourth proportional to 98.07, 146.84 and 80.79 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.07 : 146.84 = 80.79 : x
  2. Step 2: Convert to fraction form
    98.07/146.84 = 80.79/x
  3. Step 3: Cross multiply
    98.07x = 146.84 × 80.79
  4. Step 4: Simplify right side
    98.07x = 11,862.80
  5. Step 5: Solve for x
    x = 11,862.80/98.07
  6. Step 6: Final answer
    x = 120.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.