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Finding the Fourth Proportional to 194.64, 268.71 and 159.76

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Solution

The fourth proportional to 194.64, 268.71 and 159.76 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.64 : 268.71 = 159.76 : x
  2. Step 2: Convert to fraction form
    194.64/268.71 = 159.76/x
  3. Step 3: Cross multiply
    194.64x = 268.71 × 159.76
  4. Step 4: Simplify right side
    194.64x = 42,928.31
  5. Step 5: Solve for x
    x = 42,928.31/194.64
  6. Step 6: Final answer
    x = 220.55

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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.