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Finding the Fourth Proportional to 84.10, 114.92 and 83.56

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Solution

The fourth proportional to 84.10, 114.92 and 83.56 is: 114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 114.92 = 83.56 : x
  2. Step 2: Convert to fraction form
    84.10/114.92 = 83.56/x
  3. Step 3: Cross multiply
    84.10x = 114.92 × 83.56
  4. Step 4: Simplify right side
    84.10x = 9,602.72
  5. Step 5: Solve for x
    x = 9,602.72/84.10
  6. Step 6: Final answer
    x = 114.18

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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.