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Finding the Fourth Proportional to 85.23, 116.75 and 84.99

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Solution

The fourth proportional to 85.23, 116.75 and 84.99 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 116.75 = 84.99 : x
  2. Step 2: Convert to fraction form
    85.23/116.75 = 84.99/x
  3. Step 3: Cross multiply
    85.23x = 116.75 × 84.99
  4. Step 4: Simplify right side
    85.23x = 9,921.57
  5. Step 5: Solve for x
    x = 9,921.57/85.23
  6. Step 6: Final answer
    x = 116.42

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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.