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Finding the Fourth Proportional to 28.62, 39.46 and 20.31

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Solution

The fourth proportional to 28.62, 39.46 and 20.31 is: 28.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.62 : 39.46 = 20.31 : x
  2. Step 2: Convert to fraction form
    28.62/39.46 = 20.31/x
  3. Step 3: Cross multiply
    28.62x = 39.46 × 20.31
  4. Step 4: Simplify right side
    28.62x = 801.43
  5. Step 5: Solve for x
    x = 801.43/28.62
  6. Step 6: Final answer
    x = 28.00

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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.