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Finding the Fourth Proportional to 243.74, 364.91 and 227.34

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Solution

The fourth proportional to 243.74, 364.91 and 227.34 is: 340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 364.91 = 227.34 : x
  2. Step 2: Convert to fraction form
    243.74/364.91 = 227.34/x
  3. Step 3: Cross multiply
    243.74x = 364.91 × 227.34
  4. Step 4: Simplify right side
    243.74x = 82,957.50
  5. Step 5: Solve for x
    x = 82,957.50/243.74
  6. Step 6: Final answer
    x = 340.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.