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Finding the Fourth Proportional to 20.17, 27.83 and 13.25

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Solution

The fourth proportional to 20.17, 27.83 and 13.25 is: 18.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.17 : 27.83 = 13.25 : x
  2. Step 2: Convert to fraction form
    20.17/27.83 = 13.25/x
  3. Step 3: Cross multiply
    20.17x = 27.83 × 13.25
  4. Step 4: Simplify right side
    20.17x = 368.75
  5. Step 5: Solve for x
    x = 368.75/20.17
  6. Step 6: Final answer
    x = 18.28

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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.