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Finding the Fourth Proportional to 82.21, 113.34 and 67.40

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Solution

The fourth proportional to 82.21, 113.34 and 67.40 is: 92.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.21 : 113.34 = 67.40 : x
  2. Step 2: Convert to fraction form
    82.21/113.34 = 67.40/x
  3. Step 3: Cross multiply
    82.21x = 113.34 × 67.40
  4. Step 4: Simplify right side
    82.21x = 7,639.57
  5. Step 5: Solve for x
    x = 7,639.57/82.21
  6. Step 6: Final answer
    x = 92.93

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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.