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Finding the Fourth Proportional to 275.67, 377.68 and 265.29

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Solution

The fourth proportional to 275.67, 377.68 and 265.29 is: 363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 377.68 = 265.29 : x
  2. Step 2: Convert to fraction form
    275.67/377.68 = 265.29/x
  3. Step 3: Cross multiply
    275.67x = 377.68 × 265.29
  4. Step 4: Simplify right side
    275.67x = 100,194.98
  5. Step 5: Solve for x
    x = 100,194.98/275.67
  6. Step 6: Final answer
    x = 363.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.