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Finding the Fourth Proportional to 194.72, 268.72 and 142.88

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Solution

The fourth proportional to 194.72, 268.72 and 142.88 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.72 : 268.72 = 142.88 : x
  2. Step 2: Convert to fraction form
    194.72/268.72 = 142.88/x
  3. Step 3: Cross multiply
    194.72x = 268.72 × 142.88
  4. Step 4: Simplify right side
    194.72x = 38,393.01
  5. Step 5: Solve for x
    x = 38,393.01/194.72
  6. Step 6: Final answer
    x = 197.18

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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.