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Finding the Fourth Proportional to 194.94, 291.90 and 154.83

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Solution

The fourth proportional to 194.94, 291.90 and 154.83 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 291.90 = 154.83 : x
  2. Step 2: Convert to fraction form
    194.94/291.90 = 154.83/x
  3. Step 3: Cross multiply
    194.94x = 291.90 × 154.83
  4. Step 4: Simplify right side
    194.94x = 45,194.88
  5. Step 5: Solve for x
    x = 45,194.88/194.94
  6. Step 6: Final answer
    x = 231.84

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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.