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Finding the Fourth Proportional to 105.49, 157.84 and 82.49

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Solution

The fourth proportional to 105.49, 157.84 and 82.49 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.49 : 157.84 = 82.49 : x
  2. Step 2: Convert to fraction form
    105.49/157.84 = 82.49/x
  3. Step 3: Cross multiply
    105.49x = 157.84 × 82.49
  4. Step 4: Simplify right side
    105.49x = 13,020.22
  5. Step 5: Solve for x
    x = 13,020.22/105.49
  6. Step 6: Final answer
    x = 123.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.