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Finding the Fourth Proportional to 193.20, 289.96 and 116.16

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Solution

The fourth proportional to 193.20, 289.96 and 116.16 is: 174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 289.96 = 116.16 : x
  2. Step 2: Convert to fraction form
    193.20/289.96 = 116.16/x
  3. Step 3: Cross multiply
    193.20x = 289.96 × 116.16
  4. Step 4: Simplify right side
    193.20x = 33,681.75
  5. Step 5: Solve for x
    x = 33,681.75/193.20
  6. Step 6: Final answer
    x = 174.34

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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.