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Finding the Fourth Proportional to 193.82, 291.26 and 116.80

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Solution

The fourth proportional to 193.82, 291.26 and 116.80 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 291.26 = 116.80 : x
  2. Step 2: Convert to fraction form
    193.82/291.26 = 116.80/x
  3. Step 3: Cross multiply
    193.82x = 291.26 × 116.80
  4. Step 4: Simplify right side
    193.82x = 34,019.17
  5. Step 5: Solve for x
    x = 34,019.17/193.82
  6. Step 6: Final answer
    x = 175.52

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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.