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Finding the Fourth Proportional to 82.27, 122.63 and 77.05

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Solution

The fourth proportional to 82.27, 122.63 and 77.05 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.27 : 122.63 = 77.05 : x
  2. Step 2: Convert to fraction form
    82.27/122.63 = 77.05/x
  3. Step 3: Cross multiply
    82.27x = 122.63 × 77.05
  4. Step 4: Simplify right side
    82.27x = 9,448.64
  5. Step 5: Solve for x
    x = 9,448.64/82.27
  6. Step 6: Final answer
    x = 114.85

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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.