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Finding the Fourth Proportional to 275.97, 414.11 and 113.77

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Solution

The fourth proportional to 275.97, 414.11 and 113.77 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 414.11 = 113.77 : x
  2. Step 2: Convert to fraction form
    275.97/414.11 = 113.77/x
  3. Step 3: Cross multiply
    275.97x = 414.11 × 113.77
  4. Step 4: Simplify right side
    275.97x = 47,114.10
  5. Step 5: Solve for x
    x = 47,114.10/275.97
  6. Step 6: Final answer
    x = 170.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.