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Finding the Fourth Proportional to 193.49, 290.24 and 129.77

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Solution

The fourth proportional to 193.49, 290.24 and 129.77 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 290.24 = 129.77 : x
  2. Step 2: Convert to fraction form
    193.49/290.24 = 129.77/x
  3. Step 3: Cross multiply
    193.49x = 290.24 × 129.77
  4. Step 4: Simplify right side
    193.49x = 37,663.80
  5. Step 5: Solve for x
    x = 37,663.80/193.49
  6. Step 6: Final answer
    x = 194.66

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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.