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Finding the Fourth Proportional to 103.44, 142.80 and 84

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Solution

The fourth proportional to 103.44, 142.80 and 84 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 142.80 = 84 : x
  2. Step 2: Convert to fraction form
    103.44/142.80 = 84/x
  3. Step 3: Cross multiply
    103.44x = 142.80 × 84
  4. Step 4: Simplify right side
    103.44x = 11,995.20
  5. Step 5: Solve for x
    x = 11,995.20/103.44
  6. Step 6: Final answer
    x = 115.96

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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.