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Finding the Fourth Proportional to 930.52, 1,395.77 and 227.73

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Solution

The fourth proportional to 930.52, 1,395.77 and 227.73 is: 341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.52 : 1,395.77 = 227.73 : x
  2. Step 2: Convert to fraction form
    930.52/1,395.77 = 227.73/x
  3. Step 3: Cross multiply
    930.52x = 1,395.77 × 227.73
  4. Step 4: Simplify right side
    930.52x = 317,857.56
  5. Step 5: Solve for x
    x = 317,857.56/930.52
  6. Step 6: Final answer
    x = 341.59

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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.