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Finding the Fourth Proportional to 223.98, 334.46 and 180.70

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Solution

The fourth proportional to 223.98, 334.46 and 180.70 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.98 : 334.46 = 180.70 : x
  2. Step 2: Convert to fraction form
    223.98/334.46 = 180.70/x
  3. Step 3: Cross multiply
    223.98x = 334.46 × 180.70
  4. Step 4: Simplify right side
    223.98x = 60,436.92
  5. Step 5: Solve for x
    x = 60,436.92/223.98
  6. Step 6: Final answer
    x = 269.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.