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Finding the Fourth Proportional to 86.84, 119.35 and 82.83

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Solution

The fourth proportional to 86.84, 119.35 and 82.83 is: 113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.84 : 119.35 = 82.83 : x
  2. Step 2: Convert to fraction form
    86.84/119.35 = 82.83/x
  3. Step 3: Cross multiply
    86.84x = 119.35 × 82.83
  4. Step 4: Simplify right side
    86.84x = 9,886.31
  5. Step 5: Solve for x
    x = 9,886.31/86.84
  6. Step 6: Final answer
    x = 113.84

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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.