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Finding the Fourth Proportional to 220.64, 331.24 and 172.04

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Solution

The fourth proportional to 220.64, 331.24 and 172.04 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.64 : 331.24 = 172.04 : x
  2. Step 2: Convert to fraction form
    220.64/331.24 = 172.04/x
  3. Step 3: Cross multiply
    220.64x = 331.24 × 172.04
  4. Step 4: Simplify right side
    220.64x = 56,986.53
  5. Step 5: Solve for x
    x = 56,986.53/220.64
  6. Step 6: Final answer
    x = 258.28

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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.