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Finding the Fourth Proportional to 265.57, 397.66 and 227.29

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Solution

The fourth proportional to 265.57, 397.66 and 227.29 is: 340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 397.66 = 227.29 : x
  2. Step 2: Convert to fraction form
    265.57/397.66 = 227.29/x
  3. Step 3: Cross multiply
    265.57x = 397.66 × 227.29
  4. Step 4: Simplify right side
    265.57x = 90,384.14
  5. Step 5: Solve for x
    x = 90,384.14/265.57
  6. Step 6: Final answer
    x = 340.34

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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.