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Finding the Fourth Proportional to 194.20, 289.80 and 173.76

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Solution

The fourth proportional to 194.20, 289.80 and 173.76 is: 259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 289.80 = 173.76 : x
  2. Step 2: Convert to fraction form
    194.20/289.80 = 173.76/x
  3. Step 3: Cross multiply
    194.20x = 289.80 × 173.76
  4. Step 4: Simplify right side
    194.20x = 50,355.65
  5. Step 5: Solve for x
    x = 50,355.65/194.20
  6. Step 6: Final answer
    x = 259.30

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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.