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Finding the Fourth Proportional to 85.84, 118.08 and 82.48

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Solution

The fourth proportional to 85.84, 118.08 and 82.48 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.08 = 82.48 : x
  2. Step 2: Convert to fraction form
    85.84/118.08 = 82.48/x
  3. Step 3: Cross multiply
    85.84x = 118.08 × 82.48
  4. Step 4: Simplify right side
    85.84x = 9,739.24
  5. Step 5: Solve for x
    x = 9,739.24/85.84
  6. Step 6: Final answer
    x = 113.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.