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Finding the Fourth Proportional to 227.63, 314.33 and 169.31

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Solution

The fourth proportional to 227.63, 314.33 and 169.31 is: 233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.63 : 314.33 = 169.31 : x
  2. Step 2: Convert to fraction form
    227.63/314.33 = 169.31/x
  3. Step 3: Cross multiply
    227.63x = 314.33 × 169.31
  4. Step 4: Simplify right side
    227.63x = 53,216.79
  5. Step 5: Solve for x
    x = 53,216.79/227.63
  6. Step 6: Final answer
    x = 233.79

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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.