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Finding the Fourth Proportional to 275.45, 380.03 and 187.97

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Solution

The fourth proportional to 275.45, 380.03 and 187.97 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 380.03 = 187.97 : x
  2. Step 2: Convert to fraction form
    275.45/380.03 = 187.97/x
  3. Step 3: Cross multiply
    275.45x = 380.03 × 187.97
  4. Step 4: Simplify right side
    275.45x = 71,431.40
  5. Step 5: Solve for x
    x = 71,431.40/275.45
  6. Step 6: Final answer
    x = 259.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.