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Finding the Fourth Proportional to 54.40, 81.56 and 20.14

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Solution

The fourth proportional to 54.40, 81.56 and 20.14 is: 30.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.40 : 81.56 = 20.14 : x
  2. Step 2: Convert to fraction form
    54.40/81.56 = 20.14/x
  3. Step 3: Cross multiply
    54.40x = 81.56 × 20.14
  4. Step 4: Simplify right side
    54.40x = 1,642.62
  5. Step 5: Solve for x
    x = 1,642.62/54.40
  6. Step 6: Final answer
    x = 30.20

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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.