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Finding the Fourth Proportional to 95.00, 131.13 and 82.68

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Solution

The fourth proportional to 95.00, 131.13 and 82.68 is: 114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.00 : 131.13 = 82.68 : x
  2. Step 2: Convert to fraction form
    95.00/131.13 = 82.68/x
  3. Step 3: Cross multiply
    95.00x = 131.13 × 82.68
  4. Step 4: Simplify right side
    95.00x = 10,841.83
  5. Step 5: Solve for x
    x = 10,841.83/95.00
  6. Step 6: Final answer
    x = 114.13

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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.