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Finding the Fourth Proportional to 281.60, 389.09 and 271.75

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Solution

The fourth proportional to 281.60, 389.09 and 271.75 is: 375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 389.09 = 271.75 : x
  2. Step 2: Convert to fraction form
    281.60/389.09 = 271.75/x
  3. Step 3: Cross multiply
    281.60x = 389.09 × 271.75
  4. Step 4: Simplify right side
    281.60x = 105,735.21
  5. Step 5: Solve for x
    x = 105,735.21/281.60
  6. Step 6: Final answer
    x = 375.48

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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.