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Finding the Fourth Proportional to 243.92, 366.15 and 141.19

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Solution

The fourth proportional to 243.92, 366.15 and 141.19 is: 211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 366.15 = 141.19 : x
  2. Step 2: Convert to fraction form
    243.92/366.15 = 141.19/x
  3. Step 3: Cross multiply
    243.92x = 366.15 × 141.19
  4. Step 4: Simplify right side
    243.92x = 51,694.89
  5. Step 5: Solve for x
    x = 51,694.89/243.92
  6. Step 6: Final answer
    x = 211.93

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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.