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Finding the Fourth Proportional to 196.53, 271.29 and 126.59

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Solution

The fourth proportional to 196.53, 271.29 and 126.59 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.53 : 271.29 = 126.59 : x
  2. Step 2: Convert to fraction form
    196.53/271.29 = 126.59/x
  3. Step 3: Cross multiply
    196.53x = 271.29 × 126.59
  4. Step 4: Simplify right side
    196.53x = 34,341.59
  5. Step 5: Solve for x
    x = 34,341.59/196.53
  6. Step 6: Final answer
    x = 174.74

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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.