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Finding the Fourth Proportional to 196.26, 271.31 and 157.31

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Solution

The fourth proportional to 196.26, 271.31 and 157.31 is: 217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.26 : 271.31 = 157.31 : x
  2. Step 2: Convert to fraction form
    196.26/271.31 = 157.31/x
  3. Step 3: Cross multiply
    196.26x = 271.31 × 157.31
  4. Step 4: Simplify right side
    196.26x = 42,679.24
  5. Step 5: Solve for x
    x = 42,679.24/196.26
  6. Step 6: Final answer
    x = 217.46

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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.