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Finding the Fourth Proportional to 196.97, 295.28 and 75.16

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Solution

The fourth proportional to 196.97, 295.28 and 75.16 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 295.28 = 75.16 : x
  2. Step 2: Convert to fraction form
    196.97/295.28 = 75.16/x
  3. Step 3: Cross multiply
    196.97x = 295.28 × 75.16
  4. Step 4: Simplify right side
    196.97x = 22,191.39
  5. Step 5: Solve for x
    x = 22,191.39/196.97
  6. Step 6: Final answer
    x = 112.66

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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.