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Finding the Fourth Proportional to 82.15, 113.26 and 67.34

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Solution

The fourth proportional to 82.15, 113.26 and 67.34 is: 92.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.15 : 113.26 = 67.34 : x
  2. Step 2: Convert to fraction form
    82.15/113.26 = 67.34/x
  3. Step 3: Cross multiply
    82.15x = 113.26 × 67.34
  4. Step 4: Simplify right side
    82.15x = 7,626.53
  5. Step 5: Solve for x
    x = 7,626.53/82.15
  6. Step 6: Final answer
    x = 92.84

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Why These Related Problems?

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