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Finding the Fourth Proportional to 103.28, 142.36 and 82.48

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Solution

The fourth proportional to 103.28, 142.36 and 82.48 is: 113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 142.36 = 82.48 : x
  2. Step 2: Convert to fraction form
    103.28/142.36 = 82.48/x
  3. Step 3: Cross multiply
    103.28x = 142.36 × 82.48
  4. Step 4: Simplify right side
    103.28x = 11,741.85
  5. Step 5: Solve for x
    x = 11,741.85/103.28
  6. Step 6: Final answer
    x = 113.69

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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.