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Finding the Fourth Proportional to 194.05, 289.56 and 176.80

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Solution

The fourth proportional to 194.05, 289.56 and 176.80 is: 263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 289.56 = 176.80 : x
  2. Step 2: Convert to fraction form
    194.05/289.56 = 176.80/x
  3. Step 3: Cross multiply
    194.05x = 289.56 × 176.80
  4. Step 4: Simplify right side
    194.05x = 51,191.88
  5. Step 5: Solve for x
    x = 51,191.88/194.05
  6. Step 6: Final answer
    x = 263.81

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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.