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Finding the Fourth Proportional to 196.78, 271.53 and 109.45

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Solution

The fourth proportional to 196.78, 271.53 and 109.45 is: 151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 271.53 = 109.45 : x
  2. Step 2: Convert to fraction form
    196.78/271.53 = 109.45/x
  3. Step 3: Cross multiply
    196.78x = 271.53 × 109.45
  4. Step 4: Simplify right side
    196.78x = 29,717.60
  5. Step 5: Solve for x
    x = 29,717.60/196.78
  6. Step 6: Final answer
    x = 151.02

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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.