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Finding the Fourth Proportional to 85.74, 117.44 and 82.66

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Solution

The fourth proportional to 85.74, 117.44 and 82.66 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.74 : 117.44 = 82.66 : x
  2. Step 2: Convert to fraction form
    85.74/117.44 = 82.66/x
  3. Step 3: Cross multiply
    85.74x = 117.44 × 82.66
  4. Step 4: Simplify right side
    85.74x = 9,707.59
  5. Step 5: Solve for x
    x = 9,707.59/85.74
  6. Step 6: Final answer
    x = 113.22

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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.