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Finding the Fourth Proportional to 82.86, 114.68 and 80.84

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Solution

The fourth proportional to 82.86, 114.68 and 80.84 is: 111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.86 : 114.68 = 80.84 : x
  2. Step 2: Convert to fraction form
    82.86/114.68 = 80.84/x
  3. Step 3: Cross multiply
    82.86x = 114.68 × 80.84
  4. Step 4: Simplify right side
    82.86x = 9,269.75
  5. Step 5: Solve for x
    x = 9,269.75/82.86
  6. Step 6: Final answer
    x = 111.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.