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Finding the Fourth Proportional to 194.90, 292.19 and 133.83

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Solution

The fourth proportional to 194.90, 292.19 and 133.83 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 292.19 = 133.83 : x
  2. Step 2: Convert to fraction form
    194.90/292.19 = 133.83/x
  3. Step 3: Cross multiply
    194.90x = 292.19 × 133.83
  4. Step 4: Simplify right side
    194.90x = 39,103.12
  5. Step 5: Solve for x
    x = 39,103.12/194.90
  6. Step 6: Final answer
    x = 200.64

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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.