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Finding the Fourth Proportional to 281.07, 418.30 and 272.07

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Solution

The fourth proportional to 281.07, 418.30 and 272.07 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 418.30 = 272.07 : x
  2. Step 2: Convert to fraction form
    281.07/418.30 = 272.07/x
  3. Step 3: Cross multiply
    281.07x = 418.30 × 272.07
  4. Step 4: Simplify right side
    281.07x = 113,806.20
  5. Step 5: Solve for x
    x = 113,806.20/281.07
  6. Step 6: Final answer
    x = 404.90

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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.