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Finding the Fourth Proportional to 220.23, 329.54 and 171.63

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Solution

The fourth proportional to 220.23, 329.54 and 171.63 is: 256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.23 : 329.54 = 171.63 : x
  2. Step 2: Convert to fraction form
    220.23/329.54 = 171.63/x
  3. Step 3: Cross multiply
    220.23x = 329.54 × 171.63
  4. Step 4: Simplify right side
    220.23x = 56,558.09
  5. Step 5: Solve for x
    x = 56,558.09/220.23
  6. Step 6: Final answer
    x = 256.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.