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Finding the Fourth Proportional to 82.71, 113.40 and 81.81

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Solution

The fourth proportional to 82.71, 113.40 and 81.81 is: 112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 113.40 = 81.81 : x
  2. Step 2: Convert to fraction form
    82.71/113.40 = 81.81/x
  3. Step 3: Cross multiply
    82.71x = 113.40 × 81.81
  4. Step 4: Simplify right side
    82.71x = 9,277.25
  5. Step 5: Solve for x
    x = 9,277.25/82.71
  6. Step 6: Final answer
    x = 112.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.