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Finding the Fourth Proportional to 172.12, 258.20 and 140.28

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Solution

The fourth proportional to 172.12, 258.20 and 140.28 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 258.20 = 140.28 : x
  2. Step 2: Convert to fraction form
    172.12/258.20 = 140.28/x
  3. Step 3: Cross multiply
    172.12x = 258.20 × 140.28
  4. Step 4: Simplify right side
    172.12x = 36,220.30
  5. Step 5: Solve for x
    x = 36,220.30/172.12
  6. Step 6: Final answer
    x = 210.44

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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.