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Finding the Fourth Proportional to 221.46, 332.30 and 217.82

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Solution

The fourth proportional to 221.46, 332.30 and 217.82 is: 326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.46 : 332.30 = 217.82 : x
  2. Step 2: Convert to fraction form
    221.46/332.30 = 217.82/x
  3. Step 3: Cross multiply
    221.46x = 332.30 × 217.82
  4. Step 4: Simplify right side
    221.46x = 72,381.59
  5. Step 5: Solve for x
    x = 72,381.59/221.46
  6. Step 6: Final answer
    x = 326.84

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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.