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Finding the Fourth Proportional to 281.66, 418.80 and 270.73

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Solution

The fourth proportional to 281.66, 418.80 and 270.73 is: 402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.66 : 418.80 = 270.73 : x
  2. Step 2: Convert to fraction form
    281.66/418.80 = 270.73/x
  3. Step 3: Cross multiply
    281.66x = 418.80 × 270.73
  4. Step 4: Simplify right side
    281.66x = 113,378.28
  5. Step 5: Solve for x
    x = 113,378.28/281.66
  6. Step 6: Final answer
    x = 402.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.