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Finding the Fourth Proportional to 275.81, 380.14 and 226.14

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Solution

The fourth proportional to 275.81, 380.14 and 226.14 is: 311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 380.14 = 226.14 : x
  2. Step 2: Convert to fraction form
    275.81/380.14 = 226.14/x
  3. Step 3: Cross multiply
    275.81x = 380.14 × 226.14
  4. Step 4: Simplify right side
    275.81x = 85,966.28
  5. Step 5: Solve for x
    x = 85,966.28/275.81
  6. Step 6: Final answer
    x = 311.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.