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Finding the Fourth Proportional to 193.22, 289.64 and 116.20

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Solution

The fourth proportional to 193.22, 289.64 and 116.20 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.22 : 289.64 = 116.20 : x
  2. Step 2: Convert to fraction form
    193.22/289.64 = 116.20/x
  3. Step 3: Cross multiply
    193.22x = 289.64 × 116.20
  4. Step 4: Simplify right side
    193.22x = 33,656.17
  5. Step 5: Solve for x
    x = 33,656.17/193.22
  6. Step 6: Final answer
    x = 174.19

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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.