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Finding the Fourth Proportional to 195.03, 268.97 and 125.10

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Solution

The fourth proportional to 195.03, 268.97 and 125.10 is: 172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.03 : 268.97 = 125.10 : x
  2. Step 2: Convert to fraction form
    195.03/268.97 = 125.10/x
  3. Step 3: Cross multiply
    195.03x = 268.97 × 125.10
  4. Step 4: Simplify right side
    195.03x = 33,647.52
  5. Step 5: Solve for x
    x = 33,647.52/195.03
  6. Step 6: Final answer
    x = 172.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.