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Finding the Fourth Proportional to 82.70, 114.14 and 82.49

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Solution

The fourth proportional to 82.70, 114.14 and 82.49 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 114.14 = 82.49 : x
  2. Step 2: Convert to fraction form
    82.70/114.14 = 82.49/x
  3. Step 3: Cross multiply
    82.70x = 114.14 × 82.49
  4. Step 4: Simplify right side
    82.70x = 9,415.41
  5. Step 5: Solve for x
    x = 9,415.41/82.70
  6. Step 6: Final answer
    x = 113.85

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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.