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Finding the Fourth Proportional to 194.60, 268.40 and 142.08

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Solution

The fourth proportional to 194.60, 268.40 and 142.08 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 268.40 = 142.08 : x
  2. Step 2: Convert to fraction form
    194.60/268.40 = 142.08/x
  3. Step 3: Cross multiply
    194.60x = 268.40 × 142.08
  4. Step 4: Simplify right side
    194.60x = 38,133.56
  5. Step 5: Solve for x
    x = 38,133.56/194.60
  6. Step 6: Final answer
    x = 195.96

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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.