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Finding the Fourth Proportional to 13.63, 20.31 and 13.42

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Solution

The fourth proportional to 13.63, 20.31 and 13.42 is: 20.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.63 : 20.31 = 13.42 : x
  2. Step 2: Convert to fraction form
    13.63/20.31 = 13.42/x
  3. Step 3: Cross multiply
    13.63x = 20.31 × 13.42
  4. Step 4: Simplify right side
    13.63x = 272.56
  5. Step 5: Solve for x
    x = 272.56/13.63
  6. Step 6: Final answer
    x = 20.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.