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Finding the Fourth Proportional to 281.59, 422.48 and 201.06

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Solution

The fourth proportional to 281.59, 422.48 and 201.06 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.59 : 422.48 = 201.06 : x
  2. Step 2: Convert to fraction form
    281.59/422.48 = 201.06/x
  3. Step 3: Cross multiply
    281.59x = 422.48 × 201.06
  4. Step 4: Simplify right side
    281.59x = 84,944.33
  5. Step 5: Solve for x
    x = 84,944.33/281.59
  6. Step 6: Final answer
    x = 301.66

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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.