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Finding the Fourth Proportional to 196.96, 295.36 and 127.48

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Solution

The fourth proportional to 196.96, 295.36 and 127.48 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 295.36 = 127.48 : x
  2. Step 2: Convert to fraction form
    196.96/295.36 = 127.48/x
  3. Step 3: Cross multiply
    196.96x = 295.36 × 127.48
  4. Step 4: Simplify right side
    196.96x = 37,652.49
  5. Step 5: Solve for x
    x = 37,652.49/196.96
  6. Step 6: Final answer
    x = 191.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.