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Finding the Fourth Proportional to 193.30, 290.02 and 77.80

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Solution

The fourth proportional to 193.30, 290.02 and 77.80 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 290.02 = 77.80 : x
  2. Step 2: Convert to fraction form
    193.30/290.02 = 77.80/x
  3. Step 3: Cross multiply
    193.30x = 290.02 × 77.80
  4. Step 4: Simplify right side
    193.30x = 22,563.56
  5. Step 5: Solve for x
    x = 22,563.56/193.30
  6. Step 6: Final answer
    x = 116.73

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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.