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Finding the Fourth Proportional to 194.83, 291.82 and 126.15

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Solution

The fourth proportional to 194.83, 291.82 and 126.15 is: 188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.83 : 291.82 = 126.15 : x
  2. Step 2: Convert to fraction form
    194.83/291.82 = 126.15/x
  3. Step 3: Cross multiply
    194.83x = 291.82 × 126.15
  4. Step 4: Simplify right side
    194.83x = 36,811.68
  5. Step 5: Solve for x
    x = 36,811.68/194.83
  6. Step 6: Final answer
    x = 188.94

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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.