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Finding the Fourth Proportional to 275.97, 412.11 and 261.93

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Solution

The fourth proportional to 275.97, 412.11 and 261.93 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 412.11 = 261.93 : x
  2. Step 2: Convert to fraction form
    275.97/412.11 = 261.93/x
  3. Step 3: Cross multiply
    275.97x = 412.11 × 261.93
  4. Step 4: Simplify right side
    275.97x = 107,943.97
  5. Step 5: Solve for x
    x = 107,943.97/275.97
  6. Step 6: Final answer
    x = 391.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.