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Finding the Fourth Proportional to 101.44, 140 and 92.80

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Solution

The fourth proportional to 101.44, 140 and 92.80 is: 128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 140 = 92.80 : x
  2. Step 2: Convert to fraction form
    101.44/140 = 92.80/x
  3. Step 3: Cross multiply
    101.44x = 140 × 92.80
  4. Step 4: Simplify right side
    101.44x = 12,992
  5. Step 5: Solve for x
    x = 12,992/101.44
  6. Step 6: Final answer
    x = 128.08

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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.