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Finding the Fourth Proportional to 275.77, 382.38 and 266.54

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Solution

The fourth proportional to 275.77, 382.38 and 266.54 is: 369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.77 : 382.38 = 266.54 : x
  2. Step 2: Convert to fraction form
    275.77/382.38 = 266.54/x
  3. Step 3: Cross multiply
    275.77x = 382.38 × 266.54
  4. Step 4: Simplify right side
    275.77x = 101,920.68
  5. Step 5: Solve for x
    x = 101,920.68/275.77
  6. Step 6: Final answer
    x = 369.59

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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.