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Finding the Fourth Proportional to 272.75, 409.21 and 194.72

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Solution

The fourth proportional to 272.75, 409.21 and 194.72 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 409.21 = 194.72 : x
  2. Step 2: Convert to fraction form
    272.75/409.21 = 194.72/x
  3. Step 3: Cross multiply
    272.75x = 409.21 × 194.72
  4. Step 4: Simplify right side
    272.75x = 79,678.84
  5. Step 5: Solve for x
    x = 79,678.84/272.75
  6. Step 6: Final answer
    x = 292.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.