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Finding the Fourth Proportional to 84.22, 125.33 and 83.98

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Solution

The fourth proportional to 84.22, 125.33 and 83.98 is: 124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 125.33 = 83.98 : x
  2. Step 2: Convert to fraction form
    84.22/125.33 = 83.98/x
  3. Step 3: Cross multiply
    84.22x = 125.33 × 83.98
  4. Step 4: Simplify right side
    84.22x = 10,525.21
  5. Step 5: Solve for x
    x = 10,525.21/84.22
  6. Step 6: Final answer
    x = 124.97

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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.