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Finding the Fourth Proportional to 221.84, 331.20 and 214.24

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Solution

The fourth proportional to 221.84, 331.20 and 214.24 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 331.20 = 214.24 : x
  2. Step 2: Convert to fraction form
    221.84/331.20 = 214.24/x
  3. Step 3: Cross multiply
    221.84x = 331.20 × 214.24
  4. Step 4: Simplify right side
    221.84x = 70,956.29
  5. Step 5: Solve for x
    x = 70,956.29/221.84
  6. Step 6: Final answer
    x = 319.85

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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.