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Finding the Fourth Proportional to 281.72, 425.11 and 270.49

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Solution

The fourth proportional to 281.72, 425.11 and 270.49 is: 408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 425.11 = 270.49 : x
  2. Step 2: Convert to fraction form
    281.72/425.11 = 270.49/x
  3. Step 3: Cross multiply
    281.72x = 425.11 × 270.49
  4. Step 4: Simplify right side
    281.72x = 114,986.26
  5. Step 5: Solve for x
    x = 114,986.26/281.72
  6. Step 6: Final answer
    x = 408.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.