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Finding the Fourth Proportional to 243.28, 366.96 and 233.20

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Solution

The fourth proportional to 243.28, 366.96 and 233.20 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.28 : 366.96 = 233.20 : x
  2. Step 2: Convert to fraction form
    243.28/366.96 = 233.20/x
  3. Step 3: Cross multiply
    243.28x = 366.96 × 233.20
  4. Step 4: Simplify right side
    243.28x = 85,575.07
  5. Step 5: Solve for x
    x = 85,575.07/243.28
  6. Step 6: Final answer
    x = 351.76

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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.