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Finding the Fourth Proportional to 314.76, 434.70 and 227.88

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Solution

The fourth proportional to 314.76, 434.70 and 227.88 is: 314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.70 = 227.88 : x
  2. Step 2: Convert to fraction form
    314.76/434.70 = 227.88/x
  3. Step 3: Cross multiply
    314.76x = 434.70 × 227.88
  4. Step 4: Simplify right side
    314.76x = 99,059.44
  5. Step 5: Solve for x
    x = 99,059.44/314.76
  6. Step 6: Final answer
    x = 314.71

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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.