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Finding the Fourth Proportional to 99.63, 137.50 and 82.22

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Solution

The fourth proportional to 99.63, 137.50 and 82.22 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.63 : 137.50 = 82.22 : x
  2. Step 2: Convert to fraction form
    99.63/137.50 = 82.22/x
  3. Step 3: Cross multiply
    99.63x = 137.50 × 82.22
  4. Step 4: Simplify right side
    99.63x = 11,304.36
  5. Step 5: Solve for x
    x = 11,304.36/99.63
  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.