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Finding the Fourth Proportional to 193.49, 290.27 and 77.91

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Solution

The fourth proportional to 193.49, 290.27 and 77.91 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 290.27 = 77.91 : x
  2. Step 2: Convert to fraction form
    193.49/290.27 = 77.91/x
  3. Step 3: Cross multiply
    193.49x = 290.27 × 77.91
  4. Step 4: Simplify right side
    193.49x = 22,614.94
  5. Step 5: Solve for x
    x = 22,614.94/193.49
  6. Step 6: Final answer
    x = 116.88

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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.