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Finding the Fourth Proportional to 206.48, 283.25 and 201.31

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Solution

The fourth proportional to 206.48, 283.25 and 201.31 is: 276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 283.25 = 201.31 : x
  2. Step 2: Convert to fraction form
    206.48/283.25 = 201.31/x
  3. Step 3: Cross multiply
    206.48x = 283.25 × 201.31
  4. Step 4: Simplify right side
    206.48x = 57,020.85
  5. Step 5: Solve for x
    x = 57,020.85/206.48
  6. Step 6: Final answer
    x = 276.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.