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Finding the Fourth Proportional to 220.86, 329.67 and 193.46

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Solution

The fourth proportional to 220.86, 329.67 and 193.46 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.86 : 329.67 = 193.46 : x
  2. Step 2: Convert to fraction form
    220.86/329.67 = 193.46/x
  3. Step 3: Cross multiply
    220.86x = 329.67 × 193.46
  4. Step 4: Simplify right side
    220.86x = 63,776.31
  5. Step 5: Solve for x
    x = 63,776.31/220.86
  6. Step 6: Final answer
    x = 288.76

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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.