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Finding the Fourth Proportional to 220.65, 329.50 and 191.85

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Solution

The fourth proportional to 220.65, 329.50 and 191.85 is: 286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.65 : 329.50 = 191.85 : x
  2. Step 2: Convert to fraction form
    220.65/329.50 = 191.85/x
  3. Step 3: Cross multiply
    220.65x = 329.50 × 191.85
  4. Step 4: Simplify right side
    220.65x = 63,214.58
  5. Step 5: Solve for x
    x = 63,214.58/220.65
  6. Step 6: Final answer
    x = 286.49

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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.