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Finding the Fourth Proportional to 84.13, 115.55 and 82.51

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Solution

The fourth proportional to 84.13, 115.55 and 82.51 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 115.55 = 82.51 : x
  2. Step 2: Convert to fraction form
    84.13/115.55 = 82.51/x
  3. Step 3: Cross multiply
    84.13x = 115.55 × 82.51
  4. Step 4: Simplify right side
    84.13x = 9,534.10
  5. Step 5: Solve for x
    x = 9,534.10/84.13
  6. Step 6: Final answer
    x = 113.33

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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.