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Finding the Fourth Proportional to 95.14, 130.98 and 82.79

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Solution

The fourth proportional to 95.14, 130.98 and 82.79 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.14 : 130.98 = 82.79 : x
  2. Step 2: Convert to fraction form
    95.14/130.98 = 82.79/x
  3. Step 3: Cross multiply
    95.14x = 130.98 × 82.79
  4. Step 4: Simplify right side
    95.14x = 10,843.83
  5. Step 5: Solve for x
    x = 10,843.83/95.14
  6. Step 6: Final answer
    x = 113.98

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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.