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Finding the Fourth Proportional to 193.92, 289.70 and 155.50

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Solution

The fourth proportional to 193.92, 289.70 and 155.50 is: 232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.92 : 289.70 = 155.50 : x
  2. Step 2: Convert to fraction form
    193.92/289.70 = 155.50/x
  3. Step 3: Cross multiply
    193.92x = 289.70 × 155.50
  4. Step 4: Simplify right side
    193.92x = 45,048.35
  5. Step 5: Solve for x
    x = 45,048.35/193.92
  6. Step 6: Final answer
    x = 232.30

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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.