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Finding the Fourth Proportional to 118.22, 162.97 and 83.14

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Solution

The fourth proportional to 118.22, 162.97 and 83.14 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.22 : 162.97 = 83.14 : x
  2. Step 2: Convert to fraction form
    118.22/162.97 = 83.14/x
  3. Step 3: Cross multiply
    118.22x = 162.97 × 83.14
  4. Step 4: Simplify right side
    118.22x = 13,548.50
  5. Step 5: Solve for x
    x = 13,548.50/118.22
  6. Step 6: Final answer
    x = 114.61

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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.