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Finding the Fourth Proportional to 243.91, 336.61 and 161.19

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Solution

The fourth proportional to 243.91, 336.61 and 161.19 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.91 : 336.61 = 161.19 : x
  2. Step 2: Convert to fraction form
    243.91/336.61 = 161.19/x
  3. Step 3: Cross multiply
    243.91x = 336.61 × 161.19
  4. Step 4: Simplify right side
    243.91x = 54,257.46
  5. Step 5: Solve for x
    x = 54,257.46/243.91
  6. Step 6: Final answer
    x = 222.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.