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Finding the Fourth Proportional to 351.74, 485.13 and 227.42

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Solution

The fourth proportional to 351.74, 485.13 and 227.42 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 485.13 = 227.42 : x
  2. Step 2: Convert to fraction form
    351.74/485.13 = 227.42/x
  3. Step 3: Cross multiply
    351.74x = 485.13 × 227.42
  4. Step 4: Simplify right side
    351.74x = 110,328.26
  5. Step 5: Solve for x
    x = 110,328.26/351.74
  6. Step 6: Final answer
    x = 313.66

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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.