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Finding the Fourth Proportional to 275.67, 415.26 and 251.64

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Solution

The fourth proportional to 275.67, 415.26 and 251.64 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 415.26 = 251.64 : x
  2. Step 2: Convert to fraction form
    275.67/415.26 = 251.64/x
  3. Step 3: Cross multiply
    275.67x = 415.26 × 251.64
  4. Step 4: Simplify right side
    275.67x = 104,496.03
  5. Step 5: Solve for x
    x = 104,496.03/275.67
  6. Step 6: Final answer
    x = 379.06

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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.