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Finding the Fourth Proportional to 220.25, 328.38 and 206.28

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Solution

The fourth proportional to 220.25, 328.38 and 206.28 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 328.38 = 206.28 : x
  2. Step 2: Convert to fraction form
    220.25/328.38 = 206.28/x
  3. Step 3: Cross multiply
    220.25x = 328.38 × 206.28
  4. Step 4: Simplify right side
    220.25x = 67,738.23
  5. Step 5: Solve for x
    x = 67,738.23/220.25
  6. Step 6: Final answer
    x = 307.56

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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.