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Finding the Fourth Proportional to 84.51, 116.37 and 81.27

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Solution

The fourth proportional to 84.51, 116.37 and 81.27 is: 111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 116.37 = 81.27 : x
  2. Step 2: Convert to fraction form
    84.51/116.37 = 81.27/x
  3. Step 3: Cross multiply
    84.51x = 116.37 × 81.27
  4. Step 4: Simplify right side
    84.51x = 9,457.39
  5. Step 5: Solve for x
    x = 9,457.39/84.51
  6. Step 6: Final answer
    x = 111.91

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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.