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Finding the Fourth Proportional to 295.18, 407.14 and 196.97

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Solution

The fourth proportional to 295.18, 407.14 and 196.97 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 407.14 = 196.97 : x
  2. Step 2: Convert to fraction form
    295.18/407.14 = 196.97/x
  3. Step 3: Cross multiply
    295.18x = 407.14 × 196.97
  4. Step 4: Simplify right side
    295.18x = 80,194.37
  5. Step 5: Solve for x
    x = 80,194.37/295.18
  6. Step 6: Final answer
    x = 271.68

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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.