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Finding the Fourth Proportional to 196.72, 271.30 and 141.64

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Solution

The fourth proportional to 196.72, 271.30 and 141.64 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 271.30 = 141.64 : x
  2. Step 2: Convert to fraction form
    196.72/271.30 = 141.64/x
  3. Step 3: Cross multiply
    196.72x = 271.30 × 141.64
  4. Step 4: Simplify right side
    196.72x = 38,426.93
  5. Step 5: Solve for x
    x = 38,426.93/196.72
  6. Step 6: Final answer
    x = 195.34

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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.