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Finding the Fourth Proportional to 193.72, 289.98 and 121.36

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Solution

The fourth proportional to 193.72, 289.98 and 121.36 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 289.98 = 121.36 : x
  2. Step 2: Convert to fraction form
    193.72/289.98 = 121.36/x
  3. Step 3: Cross multiply
    193.72x = 289.98 × 121.36
  4. Step 4: Simplify right side
    193.72x = 35,191.97
  5. Step 5: Solve for x
    x = 35,191.97/193.72
  6. Step 6: Final answer
    x = 181.66

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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.