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Finding the Fourth Proportional to 220.96, 333.36 and 214.24

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Solution

The fourth proportional to 220.96, 333.36 and 214.24 is: 323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 333.36 = 214.24 : x
  2. Step 2: Convert to fraction form
    220.96/333.36 = 214.24/x
  3. Step 3: Cross multiply
    220.96x = 333.36 × 214.24
  4. Step 4: Simplify right side
    220.96x = 71,419.05
  5. Step 5: Solve for x
    x = 71,419.05/220.96
  6. Step 6: Final answer
    x = 323.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.