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Finding the Fourth Proportional to 194.39, 291.38 and 136.61

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Solution

The fourth proportional to 194.39, 291.38 and 136.61 is: 204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.39 : 291.38 = 136.61 : x
  2. Step 2: Convert to fraction form
    194.39/291.38 = 136.61/x
  3. Step 3: Cross multiply
    194.39x = 291.38 × 136.61
  4. Step 4: Simplify right side
    194.39x = 39,804.74
  5. Step 5: Solve for x
    x = 39,804.74/194.39
  6. Step 6: Final answer
    x = 204.77

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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.