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Finding the Fourth Proportional to 220.54, 328.86 and 205.65

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Solution

The fourth proportional to 220.54, 328.86 and 205.65 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.54 : 328.86 = 205.65 : x
  2. Step 2: Convert to fraction form
    220.54/328.86 = 205.65/x
  3. Step 3: Cross multiply
    220.54x = 328.86 × 205.65
  4. Step 4: Simplify right side
    220.54x = 67,630.06
  5. Step 5: Solve for x
    x = 67,630.06/220.54
  6. Step 6: Final answer
    x = 306.66

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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.