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Finding the Fourth Proportional to 194.53, 268.50 and 142.15

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Solution

The fourth proportional to 194.53, 268.50 and 142.15 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.53 : 268.50 = 142.15 : x
  2. Step 2: Convert to fraction form
    194.53/268.50 = 142.15/x
  3. Step 3: Cross multiply
    194.53x = 268.50 × 142.15
  4. Step 4: Simplify right side
    194.53x = 38,167.28
  5. Step 5: Solve for x
    x = 38,167.28/194.53
  6. Step 6: Final answer
    x = 196.20

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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.