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Finding the Fourth Proportional to 360.28, 497.05 and 227.46

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Solution

The fourth proportional to 360.28, 497.05 and 227.46 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 497.05 = 227.46 : x
  2. Step 2: Convert to fraction form
    360.28/497.05 = 227.46/x
  3. Step 3: Cross multiply
    360.28x = 497.05 × 227.46
  4. Step 4: Simplify right side
    360.28x = 113,060.24
  5. Step 5: Solve for x
    x = 113,060.24/360.28
  6. Step 6: Final answer
    x = 313.81

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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.