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Finding the Fourth Proportional to 344.28, 514.26 and 227.76

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Solution

The fourth proportional to 344.28, 514.26 and 227.76 is: 340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.28 : 514.26 = 227.76 : x
  2. Step 2: Convert to fraction form
    344.28/514.26 = 227.76/x
  3. Step 3: Cross multiply
    344.28x = 514.26 × 227.76
  4. Step 4: Simplify right side
    344.28x = 117,127.86
  5. Step 5: Solve for x
    x = 117,127.86/344.28
  6. Step 6: Final answer
    x = 340.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.