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Finding the Fourth Proportional to 275.03, 414.65 and 271.97

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Solution

The fourth proportional to 275.03, 414.65 and 271.97 is: 410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.03 : 414.65 = 271.97 : x
  2. Step 2: Convert to fraction form
    275.03/414.65 = 271.97/x
  3. Step 3: Cross multiply
    275.03x = 414.65 × 271.97
  4. Step 4: Simplify right side
    275.03x = 112,768.93
  5. Step 5: Solve for x
    x = 112,768.93/275.03
  6. Step 6: Final answer
    x = 410.03

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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.