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Finding the Fourth Proportional to 194.63, 268.19 and 159.55

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Solution

The fourth proportional to 194.63, 268.19 and 159.55 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 268.19 = 159.55 : x
  2. Step 2: Convert to fraction form
    194.63/268.19 = 159.55/x
  3. Step 3: Cross multiply
    194.63x = 268.19 × 159.55
  4. Step 4: Simplify right side
    194.63x = 42,788.25
  5. Step 5: Solve for x
    x = 42,788.25/194.63
  6. Step 6: Final answer
    x = 219.85

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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.