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Finding the Fourth Proportional to 220.65, 332.25 and 196.50

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Solution

The fourth proportional to 220.65, 332.25 and 196.50 is: 295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.65 : 332.25 = 196.50 : x
  2. Step 2: Convert to fraction form
    220.65/332.25 = 196.50/x
  3. Step 3: Cross multiply
    220.65x = 332.25 × 196.50
  4. Step 4: Simplify right side
    220.65x = 65,287.13
  5. Step 5: Solve for x
    x = 65,287.13/220.65
  6. Step 6: Final answer
    x = 295.89

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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.