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Finding the Fourth Proportional to 193.25, 289.95 and 116.27

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Solution

The fourth proportional to 193.25, 289.95 and 116.27 is: 174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.25 : 289.95 = 116.27 : x
  2. Step 2: Convert to fraction form
    193.25/289.95 = 116.27/x
  3. Step 3: Cross multiply
    193.25x = 289.95 × 116.27
  4. Step 4: Simplify right side
    193.25x = 33,712.67
  5. Step 5: Solve for x
    x = 33,712.67/193.25
  6. Step 6: Final answer
    x = 174.45

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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.