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Finding the Fourth Proportional to 275.39, 381.98 and 265.54

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Solution

The fourth proportional to 275.39, 381.98 and 265.54 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.39 : 381.98 = 265.54 : x
  2. Step 2: Convert to fraction form
    275.39/381.98 = 265.54/x
  3. Step 3: Cross multiply
    275.39x = 381.98 × 265.54
  4. Step 4: Simplify right side
    275.39x = 101,427.73
  5. Step 5: Solve for x
    x = 101,427.73/275.39
  6. Step 6: Final answer
    x = 368.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.