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Finding the Fourth Proportional to 84.21, 115.46 and 83.31

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Solution

The fourth proportional to 84.21, 115.46 and 83.31 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.21 : 115.46 = 83.31 : x
  2. Step 2: Convert to fraction form
    84.21/115.46 = 83.31/x
  3. Step 3: Cross multiply
    84.21x = 115.46 × 83.31
  4. Step 4: Simplify right side
    84.21x = 9,618.56
  5. Step 5: Solve for x
    x = 9,618.56/84.21
  6. Step 6: Final answer
    x = 114.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.