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Finding the Fourth Proportional to 84.92, 127.38 and 20.80

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Solution

The fourth proportional to 84.92, 127.38 and 20.80 is: 31.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 127.38 = 20.80 : x
  2. Step 2: Convert to fraction form
    84.92/127.38 = 20.80/x
  3. Step 3: Cross multiply
    84.92x = 127.38 × 20.80
  4. Step 4: Simplify right side
    84.92x = 2,649.24
  5. Step 5: Solve for x
    x = 2,649.24/84.92
  6. Step 6: Final answer
    x = 31.20

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