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Finding the Fourth Proportional to 98.19, 146.66 and 82.80

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Solution

The fourth proportional to 98.19, 146.66 and 82.80 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 146.66 = 82.80 : x
  2. Step 2: Convert to fraction form
    98.19/146.66 = 82.80/x
  3. Step 3: Cross multiply
    98.19x = 146.66 × 82.80
  4. Step 4: Simplify right side
    98.19x = 12,143.03
  5. Step 5: Solve for x
    x = 12,143.03/98.19
  6. Step 6: Final answer
    x = 123.67

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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.