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Finding the Fourth Proportional to 194.49, 268.07 and 136.17

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Solution

The fourth proportional to 194.49, 268.07 and 136.17 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 268.07 = 136.17 : x
  2. Step 2: Convert to fraction form
    194.49/268.07 = 136.17/x
  3. Step 3: Cross multiply
    194.49x = 268.07 × 136.17
  4. Step 4: Simplify right side
    194.49x = 36,502.41
  5. Step 5: Solve for x
    x = 36,502.41/194.49
  6. Step 6: Final answer
    x = 187.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.