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Finding the Fourth Proportional to 82.51, 122.84 and 82.11

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Solution

The fourth proportional to 82.51, 122.84 and 82.11 is: 122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.51 : 122.84 = 82.11 : x
  2. Step 2: Convert to fraction form
    82.51/122.84 = 82.11/x
  3. Step 3: Cross multiply
    82.51x = 122.84 × 82.11
  4. Step 4: Simplify right side
    82.51x = 10,086.39
  5. Step 5: Solve for x
    x = 10,086.39/82.51
  6. Step 6: Final answer
    x = 122.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.