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Finding the Fourth Proportional to 193.96, 289.06 and 192.34

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Solution

The fourth proportional to 193.96, 289.06 and 192.34 is: 286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 289.06 = 192.34 : x
  2. Step 2: Convert to fraction form
    193.96/289.06 = 192.34/x
  3. Step 3: Cross multiply
    193.96x = 289.06 × 192.34
  4. Step 4: Simplify right side
    193.96x = 55,599.03
  5. Step 5: Solve for x
    x = 55,599.03/193.96
  6. Step 6: Final answer
    x = 286.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.