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Finding the Fourth Proportional to 193.50, 289.80 and 116.46

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Solution

The fourth proportional to 193.50, 289.80 and 116.46 is: 174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 289.80 = 116.46 : x
  2. Step 2: Convert to fraction form
    193.50/289.80 = 116.46/x
  3. Step 3: Cross multiply
    193.50x = 289.80 × 116.46
  4. Step 4: Simplify right side
    193.50x = 33,750.11
  5. Step 5: Solve for x
    x = 33,750.11/193.50
  6. Step 6: Final answer
    x = 174.42

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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.