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Finding the Fourth Proportional to 84.51, 116.10 and 83.16

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Solution

The fourth proportional to 84.51, 116.10 and 83.16 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 116.10 = 83.16 : x
  2. Step 2: Convert to fraction form
    84.51/116.10 = 83.16/x
  3. Step 3: Cross multiply
    84.51x = 116.10 × 83.16
  4. Step 4: Simplify right side
    84.51x = 9,654.88
  5. Step 5: Solve for x
    x = 9,654.88/84.51
  6. Step 6: Final answer
    x = 114.25

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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.