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Finding the Fourth Proportional to 265.97, 397.19 and 227.05

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Solution

The fourth proportional to 265.97, 397.19 and 227.05 is: 339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.97 : 397.19 = 227.05 : x
  2. Step 2: Convert to fraction form
    265.97/397.19 = 227.05/x
  3. Step 3: Cross multiply
    265.97x = 397.19 × 227.05
  4. Step 4: Simplify right side
    265.97x = 90,181.56
  5. Step 5: Solve for x
    x = 90,181.56/265.97
  6. Step 6: Final answer
    x = 339.06

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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.