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Finding the Fourth Proportional to 196.01, 270.25 and 140.72

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Solution

The fourth proportional to 196.01, 270.25 and 140.72 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.01 : 270.25 = 140.72 : x
  2. Step 2: Convert to fraction form
    196.01/270.25 = 140.72/x
  3. Step 3: Cross multiply
    196.01x = 270.25 × 140.72
  4. Step 4: Simplify right side
    196.01x = 38,029.90
  5. Step 5: Solve for x
    x = 38,029.90/196.01
  6. Step 6: Final answer
    x = 194.03

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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.