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Finding the Fourth Proportional to 243.92, 336.69 and 166.34

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Solution

The fourth proportional to 243.92, 336.69 and 166.34 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.92 : 336.69 = 166.34 : x
  2. Step 2: Convert to fraction form
    243.92/336.69 = 166.34/x
  3. Step 3: Cross multiply
    243.92x = 336.69 × 166.34
  4. Step 4: Simplify right side
    243.92x = 56,005.01
  5. Step 5: Solve for x
    x = 56,005.01/243.92
  6. Step 6: Final answer
    x = 229.60

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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.