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Finding the Fourth Proportional to 196.94, 295.61 and 135.86

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Solution

The fourth proportional to 196.94, 295.61 and 135.86 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 295.61 = 135.86 : x
  2. Step 2: Convert to fraction form
    196.94/295.61 = 135.86/x
  3. Step 3: Cross multiply
    196.94x = 295.61 × 135.86
  4. Step 4: Simplify right side
    196.94x = 40,161.57
  5. Step 5: Solve for x
    x = 40,161.57/196.94
  6. Step 6: Final answer
    x = 203.93

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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.