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Finding the Fourth Proportional to 90.80, 125.26 and 82.70

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Solution

The fourth proportional to 90.80, 125.26 and 82.70 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.80 : 125.26 = 82.70 : x
  2. Step 2: Convert to fraction form
    90.80/125.26 = 82.70/x
  3. Step 3: Cross multiply
    90.80x = 125.26 × 82.70
  4. Step 4: Simplify right side
    90.80x = 10,359.00
  5. Step 5: Solve for x
    x = 10,359.00/90.80
  6. Step 6: Final answer
    x = 114.09

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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.