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Finding the Fourth Proportional to 86.48, 118.61 and 82.08

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Solution

The fourth proportional to 86.48, 118.61 and 82.08 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 118.61 = 82.08 : x
  2. Step 2: Convert to fraction form
    86.48/118.61 = 82.08/x
  3. Step 3: Cross multiply
    86.48x = 118.61 × 82.08
  4. Step 4: Simplify right side
    86.48x = 9,735.10
  5. Step 5: Solve for x
    x = 9,735.10/86.48
  6. Step 6: Final answer
    x = 112.58

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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.