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Finding the Fourth Proportional to 243.42, 366.96 and 227.76

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Solution

The fourth proportional to 243.42, 366.96 and 227.76 is: 343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 366.96 = 227.76 : x
  2. Step 2: Convert to fraction form
    243.42/366.96 = 227.76/x
  3. Step 3: Cross multiply
    243.42x = 366.96 × 227.76
  4. Step 4: Simplify right side
    243.42x = 83,578.81
  5. Step 5: Solve for x
    x = 83,578.81/243.42
  6. Step 6: Final answer
    x = 343.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.