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Finding the Fourth Proportional to 193.85, 290.46 and 132.02

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Solution

The fourth proportional to 193.85, 290.46 and 132.02 is: 197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 290.46 = 132.02 : x
  2. Step 2: Convert to fraction form
    193.85/290.46 = 132.02/x
  3. Step 3: Cross multiply
    193.85x = 290.46 × 132.02
  4. Step 4: Simplify right side
    193.85x = 38,346.53
  5. Step 5: Solve for x
    x = 38,346.53/193.85
  6. Step 6: Final answer
    x = 197.82

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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.