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Finding the Fourth Proportional to 193.96, 290.78 and 129.64

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Solution

The fourth proportional to 193.96, 290.78 and 129.64 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 290.78 = 129.64 : x
  2. Step 2: Convert to fraction form
    193.96/290.78 = 129.64/x
  3. Step 3: Cross multiply
    193.96x = 290.78 × 129.64
  4. Step 4: Simplify right side
    193.96x = 37,696.72
  5. Step 5: Solve for x
    x = 37,696.72/193.96
  6. Step 6: Final answer
    x = 194.35

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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.