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Finding the Fourth Proportional to 193.54, 289.82 and 128.34

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Solution

The fourth proportional to 193.54, 289.82 and 128.34 is: 192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.54 : 289.82 = 128.34 : x
  2. Step 2: Convert to fraction form
    193.54/289.82 = 128.34/x
  3. Step 3: Cross multiply
    193.54x = 289.82 × 128.34
  4. Step 4: Simplify right side
    193.54x = 37,194.86
  5. Step 5: Solve for x
    x = 37,194.86/193.54
  6. Step 6: Final answer
    x = 192.18

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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.