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Finding the Fourth Proportional to 243.41, 366.73 and 212.83

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Solution

The fourth proportional to 243.41, 366.73 and 212.83 is: 320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.41 : 366.73 = 212.83 : x
  2. Step 2: Convert to fraction form
    243.41/366.73 = 212.83/x
  3. Step 3: Cross multiply
    243.41x = 366.73 × 212.83
  4. Step 4: Simplify right side
    243.41x = 78,049.70
  5. Step 5: Solve for x
    x = 78,049.70/243.41
  6. Step 6: Final answer
    x = 320.66

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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.