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Finding the Fourth Proportional to 223.92, 334.20 and 217.98

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Solution

The fourth proportional to 223.92, 334.20 and 217.98 is: 325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.92 : 334.20 = 217.98 : x
  2. Step 2: Convert to fraction form
    223.92/334.20 = 217.98/x
  3. Step 3: Cross multiply
    223.92x = 334.20 × 217.98
  4. Step 4: Simplify right side
    223.92x = 72,848.92
  5. Step 5: Solve for x
    x = 72,848.92/223.92
  6. Step 6: Final answer
    x = 325.33

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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.