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Finding the Fourth Proportional to 220.82, 333.16 and 220.22

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Solution

The fourth proportional to 220.82, 333.16 and 220.22 is: 332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 333.16 = 220.22 : x
  2. Step 2: Convert to fraction form
    220.82/333.16 = 220.22/x
  3. Step 3: Cross multiply
    220.82x = 333.16 × 220.22
  4. Step 4: Simplify right side
    220.82x = 73,366.83
  5. Step 5: Solve for x
    x = 73,366.83/220.82
  6. Step 6: Final answer
    x = 332.25

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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.