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Finding the Fourth Proportional to 99.98, 137.78 and 82.45

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Solution

The fourth proportional to 99.98, 137.78 and 82.45 is: 113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 137.78 = 82.45 : x
  2. Step 2: Convert to fraction form
    99.98/137.78 = 82.45/x
  3. Step 3: Cross multiply
    99.98x = 137.78 × 82.45
  4. Step 4: Simplify right side
    99.98x = 11,359.20
  5. Step 5: Solve for x
    x = 11,359.20/99.98
  6. Step 6: Final answer
    x = 113.61

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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.