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Finding the Fourth Proportional to 84.51, 115.91 and 83.30

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Solution

The fourth proportional to 84.51, 115.91 and 83.30 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 115.91 = 83.30 : x
  2. Step 2: Convert to fraction form
    84.51/115.91 = 83.30/x
  3. Step 3: Cross multiply
    84.51x = 115.91 × 83.30
  4. Step 4: Simplify right side
    84.51x = 9,654.62
  5. Step 5: Solve for x
    x = 9,654.62/84.51
  6. Step 6: Final answer
    x = 114.24

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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.