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Finding the Fourth Proportional to 82.15, 113.43 and 68.38

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Solution

The fourth proportional to 82.15, 113.43 and 68.38 is: 94.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.15 : 113.43 = 68.38 : x
  2. Step 2: Convert to fraction form
    82.15/113.43 = 68.38/x
  3. Step 3: Cross multiply
    82.15x = 113.43 × 68.38
  4. Step 4: Simplify right side
    82.15x = 7,756.34
  5. Step 5: Solve for x
    x = 7,756.34/82.15
  6. Step 6: Final answer
    x = 94.42

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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.