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Finding the Fourth Proportional to 220.80, 329.31 and 213.06

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Solution

The fourth proportional to 220.80, 329.31 and 213.06 is: 317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 329.31 = 213.06 : x
  2. Step 2: Convert to fraction form
    220.80/329.31 = 213.06/x
  3. Step 3: Cross multiply
    220.80x = 329.31 × 213.06
  4. Step 4: Simplify right side
    220.80x = 70,162.79
  5. Step 5: Solve for x
    x = 70,162.79/220.80
  6. Step 6: Final answer
    x = 317.77

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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.