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Finding the Fourth Proportional to 194.56, 268.08 and 142.72

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Solution

The fourth proportional to 194.56, 268.08 and 142.72 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 268.08 = 142.72 : x
  2. Step 2: Convert to fraction form
    194.56/268.08 = 142.72/x
  3. Step 3: Cross multiply
    194.56x = 268.08 × 142.72
  4. Step 4: Simplify right side
    194.56x = 38,260.38
  5. Step 5: Solve for x
    x = 38,260.38/194.56
  6. Step 6: Final answer
    x = 196.65

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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.