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Finding the Fourth Proportional to 243.10, 334.97 and 227.98

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Solution

The fourth proportional to 243.10, 334.97 and 227.98 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.10 : 334.97 = 227.98 : x
  2. Step 2: Convert to fraction form
    243.10/334.97 = 227.98/x
  3. Step 3: Cross multiply
    243.10x = 334.97 × 227.98
  4. Step 4: Simplify right side
    243.10x = 76,366.46
  5. Step 5: Solve for x
    x = 76,366.46/243.10
  6. Step 6: Final answer
    x = 314.14

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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.