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Finding the Fourth Proportional to 194.85, 268.77 and 116.13

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Solution

The fourth proportional to 194.85, 268.77 and 116.13 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 268.77 = 116.13 : x
  2. Step 2: Convert to fraction form
    194.85/268.77 = 116.13/x
  3. Step 3: Cross multiply
    194.85x = 268.77 × 116.13
  4. Step 4: Simplify right side
    194.85x = 31,212.26
  5. Step 5: Solve for x
    x = 31,212.26/194.85
  6. Step 6: Final answer
    x = 160.19

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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.